應用數學系-教師歷年著作目錄
教師： 林賜德 ( Shy-Der Lin )
(A)期刊論文(B)研討會論文(C)專書及專書論文 (D)技術報告及其他等。
各類著作請按發表時間先後順序填寫。每篇文章請依作者姓名（按原出版之次
序）、出版年、月份、題目、期刊名稱、起訖頁數之順序填寫。若期刊屬於 SCI、
EI 等時，請註明。
A. 期刊論文
1. Kun-Jen Chung, Shy-Der Lin, 2008, A note on how to compute economic order
quantities with derivatives by cost comparisons, Journal of Information &
Optimization Sciences, Vol.29, No.1, pp.29-35 (EI )
2. Kun-Jen Chung, Shy-Der Lin, 2008, The comparisons between the economic lot
quantity with backorders derived algebraically and analytically, Journal of Statistics
& Management Systems, Vol.11, No.1, pp.29-35 (EI )
3. Kun-Jen Chung, Shy-Der Lin, 2008, A note on deterministic inventory models with
shortage and defective items derived without derivatives, Journal of Statistics &
Management, Vol.11, No.1, pp.21-27 (EI )
4. P .Y. Wang, S. D. Lin, H. M. Srivastava, 2007, Explicit solutions of jacobi and gauss
differential equations by means of operators of fractional calculus, Applied
Mathematics and Computation. (SCI) (NSC 95-2115-M-033-006)
5. S. D. Lin, K. Nishimoto, T. Miyakoda and, H. M. Srivastava, 2007, Some
differintegral formulas for power, composite and rational functions, Journal of
Fractional Calculus, Vol. 33, Nov, 87-98. (NSC 95-2115-M-033-006)
6. H.M. Srivastava, S.D. Lin, Y.T. Chao, and P.Y. Wang, 2007, Explicit solutions of
Differential Equations by Means of Fractional Calculus, Russian Journal of
Mathematical Physics, Vol. 14, No.3, 280-289. (SCI :0.394 )
7. S.D. Lin, Y.S. Tsai and P.Y. Wang, 2007, Explicit solutions of a certain class of
associated Legendre equations by means of fractional calculus, Applied
Mathematics and Computation, Vol. 187, 280-289. (SCI :0.688 )
8. P. Y. Wang, S.D. Lin and S.T. Tu, 2007, A survey of fractional-calculus approaches
to the solutions of the Bessel differential equation of general order, Applied
Mathematics and Computation, Vol. 187, 544-555. (SCI :0.688 )
9. P.Y. Wang, S.D. Lin and H.M. Srivastava, 2006, Remark on a Simple
Fractional-Calculus Approach to the Solutions of the Bessel Differential
Equation of General Order and Some of Its Applications, Comput. Math. Appl.
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2008/05/05
51, 105-114. (SCI: 0.430) (NSC 93-2115-M-033-008)
10. H.M. Srivastava, S.D. Lin, and P.Y. Wang, 2006, Some fractional-calculus results
for the H -Function associated with a class of Feynman Integrals, Russian Journal
of Mathematical Physics, Vol. 13, No. 1, 94-100. (SCI :0.394 ) (NSC
94-2115-M-033-004)
11. S.D. Lin, Y.S. Tsai, H. M. Srivastava, and P.Y. Wang, 2006, Fractional-calculus
derivations of the explicit solutions of the confluent hypergeometric and associated
Laguerre equations, Journal of Fractional Calculus, Vol. 29, May, 75-86. (NSC
94-2115-M-033-004)
12. P. Y. Wang, S.D. Lin and S.T. Tu, 2006, A survey of fractional-calculus approaches
to the solutions of the Bessel differential equation of general order, Applied
Mathematics and Computation. (Accepted) (SCI :0.688 )
13. S.D. Lin, Y.S. Tsai and P.Y. Wang, 2006, Explicit solutions of a certain class of
associated Legendre equations by means of fractional calculus, Applied
Mathematics and Computation. (Accepted) (SCI :0.688 )
14. S.D. Lin, S.T. Tu, H. M. Srivastava, and P.Y. Wang, 2006, Some families of multiple
infinite sums and associated fractional differintegral formulas for power and
composite functions, Journal of Fractional Calculus, Vol. 30, Nov, 45-58. (NSC
94-2115-M-033-004)
15. S.D. Lin, H.M. Srivastava, and P.Y. Wang, 2006, Some expansion formulas for a
class of generalized Hurwitz-Lerch Zeta functions, Integral Transforms and Special
Functions,
Vol.
17,
No.
11,
Nov.,
817-827.
(SCI :
0.291)
(NSC
95-2115-M-033-006)
16. S.D. Lin, W.C. Ling, K. Nishimoto and H.M. Srivastava, 2005, A Simple
Fractional-Calculus Approach to the Solutions of the Bessel Differential Equation of
General Order and Some of Its Applications, Comput. Math. Appl. Vol. 49,
1487-1498. (SCI)
17. S.D. Lin, H.M. Srivastava and P.Y. Wang, 2005, Some Mixed Multilateral
Generating Relations Involving Hypergeometric Functions, Integral Transforms
and Special Functions. Spec. Funct. Vol. 16, 609-614.
18. S.D. Lin, Y.S. Chao and H.M. Srivastava, 2005, Some expansions of the exponential
integral in series of the incomplete gamma function. Appl. Math. Lett. Vol. 18,
513-520. (SCI)
19. S.D. Lin, H.M. Srivastava and Shih-Tong Tu, 2005, Basic (or q-) Extensions of
Some Multiple Infinite Sums Derived by Means of Fractional Calculus, Journal of
fractional calculus, May, Vol. 27, 43-57.
20. S.D. Lin, H.M. Srivastava and P.Y. Wang (2005), “Some Multiple Infinite Sums and
Combinatorial Identities Derived by Means of Fractional Calculus”, Journal of
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fractional calculus, Vol.28 , No.0 p.75－86. , (SCI).
21. S.D. Lin, H.M. Srivastava (2005), “Some Closed-Form Evaluations of Multiple
Hypergeometric and q-Hypergeometric Series ”, Acta Appl. Math, Vol.86 , No.0
p.309－317. , (SCI).
22. S.D. Lin, H.M. Srivastava, and P. Y. Wang, 2005, Some families of
multilateral generating functions for the Gegenbauer (or Ultraspherical)
polynomials and associated hypergeometric polynomials, Revista de la
Academia Canaria de Ciencias, Vol. 17, 37-58. (NSC 94-2115-M-033-004)
23. S.D. Lin, J.C. Shyu, K. Nishimoto and H.M. Srivastava, 2004, Explict Solutions of
Some General Families of Ordinary and Partial Differential Equations Associated
with the Bessel Equation by Means of Fractional Calculus, Journal of fractional
calculus, May, Vol. 25, 33-45.
24. S.D. Lin and H.M. Srivastava, 2004, Some families of the hurwitz-lerch zeta
functions and associated fractional derivative and other integral representations,
Appl. Math. Comput. Vol. 154, 725-733. (SCI)
25. S.D. Lin and H.M. Srivastava, 2004, Fractional Calculus and Its Applications
Involving Bilateral Expansions and Multiple Infinite Sums, Journal of fractional
calculus, May, Vol. 25. 47-58.
26. S.D. Lin, Y.S. Chao and H.M. Srivastava, 2004, Some families of hypergeometric
polynomials and associated integral representations, Journal of Mathematical
Analysis and Applications, Vol. 294, 399-411. (SCI)
27. S.T. Chien and S.D. Lin, 2004, Optimal Buyer-Seller Inventory Models in Supply
Chain, International of Journal of Operations Research, Vol. 1, No. 1, p. 47-58,
November.
28. S.D. Lin, I.C. Chen and H.M. Srivastava, 2003, Certain classes of finite-series
relationships and generating functions involving the generalized Bessel polynomials,
Appl. Math. Comput, Vol. 137(2-3), 261-275, May. (SCI)
29. S.D. Lin, S.T. Tu and H.M. Srivastava, 2003, A unified presentation of certain
families of non-fuchsian differential equations via fractional calculus operators.
Comput. Math. Appl. 45(12), 1861-1870, June. (SCI)
30. S.T. Tu, S.D. Lin, P.Y. Wang and K. Nishimoto, 2003, Some Relationship
Associated with the Beta Function and the Function (z-c)-n via N-Fractional
Calculus, Journal of Fractional Calculus, Vol. 23, May, 75-80.
31. S.D. Lin, H.M. Srivastava and P. Y. Wang, 2003, Some families of series and
integrals associated with the Digamma and Zeta functions, Journal of Fractional
Calculus, Vol. 23, May, 121-131.
32. T.M. Hsieh, S.D. Lin and H.M. Srivastava, 2003, Some relationships between
certain families of ordinary and fractional differential equations, Comput. Math.
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2008/05/05
Appl. 46, 1483-1492. (SCI)
33. S.D. Lin, T.M. Hsieh and H.M. Srivastava, 2003, Some Families of Multiple Infinite
Sums Associated with the Digamma and Related Functions, Journal of Fractional
Calculus, Vol. 24, November, 77-85.
34. S.D. Lin, Shin-Tong Tu, Tsai-Ming Hsieh and H. M. Srivastava, 2002, Some finite
and infinite sums associated with the digamma and related functions. Journal of
Fractional Calculus, Vol.22, November, 103-114.
35. S.D. Lin, S.T. Tu and H.M. Srivastava, 2002, Certain classes of ordinary and partial
differential equations solvable by means of fractional calculus, Appl. Math. Comput.
131(2-3), 223-233, September. (SCI)
36. S.D. Lin, S.T. Tu and H.M. Srivastava, 2002, Certain classes of infinite sums
evaluated by means of fractional calculus operators, Taiwanese Journal of
Mathematics, Vol.6, No.4, December, 475-498. (SCI)
37. S.D. Lin, S. T. Tu and H.M. Srivastava, 2002, Explicit solutions of some classes of
non-Fuchsian differential equations by means of fractional calculus, Journal of
Fractional Calculus,Vol. 21, May, 49-60.
38. S.D. Lin, H.M. Srivastava, S.T. Tu and P.Y. Wang, 2002, Some families of linear
ordinary and partial differential equations solvable by means of fractional calculus,
International Journal of Differential Equations and Applications, Vol.4, NO.4,
405-421.
39. S.D. Lin, H.M. Srivastava and Pin-Yu Wang, 2002, Some families of
hypergeometric transformations and generating relations, Mathematical and
Computer Modelling, Vol. 36, 445-459, September. (SCI)
40. S.D. Lin, H.M. Srivastava, S.T. Tu and P.Y. Wang, 2002, Certain operators of
fractional calculus and their applications to differential equations. Comput Math.
Appl. Vol. 44(12), 1557-1565, December. (SCI)
41. S.D. Lin, S.T. Tu and H.M. Srivastava, 2001, Explicit Solutions of Certain Ordinary
Differential Equations by Means of Fractional Calculus, Journal of Fractional
calculus. Vol. 20, November, 35-43.
42. S.T. Tu, S.D. Lin, Y.T. Huang and H.M. Srivastava, 2001, Solutions of a certain
class of fractional Differintegral equations, Appl. Math. Lett. 14, 223-229.(SCI)
43. K. Nishimoto, D.K. Chyan, S.D. Lin and S.T. Tu, 2001, On some infinite Sums
derived by N-fractional Calculus, Journal of Fractional Calculus, Vol. 20, November,
91-97.
44. S.D. Lin, S.T. Tu, I.C. Chen and H.M. Srivastava, 2001,Explicit solutions of a
certain family of fractional differintegral equations, Hyperion. Sci. J. Ser. A, Math.
Phys. Electr. Engrg. Vol. 2, 85-90.
45. S.D. Lin and S.T. Tu, and H.M. Srivastava, 2001, New Generating Functions for a
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Class of Generalized Hermite Polynomials, Journal of Mathematical Analysis and
Applications 261, 479-496. (SCI)
46. S.D. Lin, S.T. Tu and H.M. Srivastava, 2001, Some generating functions involving
the stirling numbers of the second kind, Rend. Sem. Mat. Univ. Politec. Torino 59(3),
199-224.
47. S.D. Lin and K. Nishimoto, 2000, New finding of particular solutions for a
generized associated Legendre equation (Illustrative examples), Journal of
Fractional calculus. Vol. 18, November, 9-37.
48. S.T. Tu, S.D. Lin and H.M. Srivastava, 2000, Solutions of a class of ordinary and
partial differential equations via fractional calculus, Journal of Fractional calculus.
Vol. 18, November, 103-110.
49. S.T. Tu, S.D. Lin, D.K. Chyan and Y.T. Huang, 1999, A Solution of Generalized
special differential equations by means of Fractial calculus, Journal of Fractional
calculus. Vol. 16, November, 111-122.
50. K.J.Chung and S.D.Lin, 1998, An exact solution of cash flow for an integrated
evaluation of investment in inventory and credit, Production Planning & Control.
Vol. 9, No. 4, 360-365. (SCI)
51. K.J.Chung, S.D.Lin, P. Chu and S.P. Lan, 1998, "The Production and Inventory
Systems Taking Account of Time Value", Production Planning & Control. Vol. 9, No.
6, 580-584. (SCI)
52. K.J.Chung and S.D.Lin, 1998, The determination of the optimal procurement policy
under Integrating working capital, the Engineering Economist, Spring Vol. 43, No.3.
269-277. (EI)
53. C.L.Yu, K.P. Lin, T.S.Chen and I.Y. Chen and S.D. Lin, 1998, Internet based
medical image processing system using Java technologies, Chung Yuan Journal, Vol.
26, No.1, 101-108.
54. S.D. Lin and K.Nishimoto, 1998, N-method to a generalized associated Legendre
equation, Journal of Fractional Calculus, Vol. 14, November, 95-111.
55. S.D. Lin and C.Y. Lee, 1997, A generalized chebyshev type partial differential
equation via fractional calculus method, Shu-The Journal, Vol. 19, 287-302.
56. K.J.Chung and S.D.Lin, 1996, A Simple Procedure to Compute the Optimal Repair
Cost under Minimal Repair. International Journal of Quality & Reliability
Management, Vol. 13, No.4. 77-84.
57. K.J.Chung and S.D.Lin, 1995, Evaluating Investment in Inventory Policy under a
Net Present Value Framework. The Engineering Economist, Vol.40, Sum. No. 4.
377-384. (EI)
58. K.J.Chung and S.D.Lin, 1995, A note on the Optimal Cycle Length with a Random
Planning Horizon. The Engineering Economist, Vol. 40, Sum. No.4. 385-392. (EI)
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59. S.T.Tu and S.D.Lin, 1994, Some generalized ordinary and partial differential
equations of Fuchs type via fractional calculus method. Journal of Fractional
Calculus. Vol.5, May, 45-58.
60. S.T.Tu and S.D.Lin, 1993, Extension of general second order differential equations
of Fuchs type to the higher order by fractional calculus method. Recent advances in
fractionalcalculus edited by R. N. Kalia, Global publishing. Co., U.S.A. 236-247.
61. S.T.Tu and S.D.Lin, 1993, Applications of fractional calculus to ordinary and partial
equations of the second order. The Hiroshima Mathematical Journal , Vol. 23, No.1,
63-77.(SCI)
62. S.T.Tu and S.D.Lin, 1992, An application of fractional calculus to generalize a
second order differential equaiton of Nishimoto. Journal of Fractional Calculus, Vol.
1, May, 61-67.
63. S.D.Lin and S.T.Tu, 1992, A generalization of Legendre's equation by fractional
calculus method. Journal of Fractional Calculus, Vol. 1, May, 35-43.
64. S.T.Tu and S.D.Lin, 1992, A generalized partial differential equations of the second
order via fractional calculus. Journal of Fractional Calculus. Vol. 2, Nov., 55-65.
65. K.Nishimoto, S.T.Tu and S.D.Lin, 1991, Generalization of some of Nishimoto's
differential equations (II).J.Coll. Engng. Nihon Univ., B-32,109-117
66. S.T.Tu, S.J. Jaw and S.D. Lin, 1990, An Application of Fractional Calculus to
Chebyshev’s Equation. The Chung Yuan Joural, Vol. XIX December.
67. S.D.Lin, 1987, A common fixed point theorem in abstract sapce. Indian J. pure
appl.math. 18(8), August.685-690.(SCI)
68. S.D.Lin, 1985, A generalization of Walter's fixed-point theorem.The Chung Yuan
Journal, Vol. X IV December, 49-52.
69. S.D.Lin, 1981, Periodic and fixed points, and commuting mappings, The Chung
Yuan Journal, Vol. X Recember, 23-26.
70. S.D.Lin, 1978, Common fixed point theorems for a formily of mappings. The
Chung Yuan Journal, Vol.VII, 27-34.
B. 研討會論文
1. 2008 Spring Meeting of the Mathematical Society of Japan,22-26 March,
Kinki University, Japan. (國科會補助經費，在日本近畿大學) Some differintegral
formulas for power, composite and rational functions.
2. 2007 Spring Meeting of the Mathematical Society of Japan,27-30 March,
Saitama university, Japan. (國科會補助經費，在日本琦玉大學) Explicit
solutions of a certain class of associated legendre equations by means of fractional
calculus.
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2. 2005 Autumm Meeting of the Mathematical Society of Japan, 19-22 September,
Okayama University, Japan. (國科會補助經費，在日本岡大學)A Simple
Fractional-Calculus Approach to the Solutions of the Bessel Differential Equation
of General Order and Some of Its Applications.
3. 2004 Autumn Meeting of the Mathematical Society of Japan, 19-22 September‚
Hokkaido University, Japan. Some relationships between certain families of
ordinary and fractional differential equations.
4. 2002 Autumn Meeting of the Mathematical Society of Japan, 25-28 September‚
Shimane University, Japan. Solutions of a generalized associated Bessel equation.
5. 2001 Autumn Meeting of the Mathematical Society of Japan, 3-6 October, Kyushu
University, Japan. Explicit solutions of certain ordinary differential equations by
means of fractional calculus, Journal of Fractional Calculus, Vol. 20, November,
35-43.
6. 2000 Autumn Meeting of the Mathematical Society of Japan, 24-27 September,
Kyoto University, Japan. New finding of particular solutions for a generalized
associated Legendre equation (Illustrative examples), Journal of Fractional Calculus,
Vol. 18, November, 9-37.
7. 1999 International Conference on Nonlinear Analysis, 16-20 October, 1999,
Academia Sinica, Taipei.
8. Hui-Ming Wee, Shy-Der Lin and Yui-Shu Kao, 1998, Inventory management with
the Buyer Seller perspectives, 1998 International Conference of Production
Research ( ASIA Meeting ), 20-22 July, Grand Hotel, Taipei, Taiwan. Page 43.
D.技術報告及其他等
1. S.D. Lin, 近似某類二階微分分方程解之漸進行為. Report of National Science
Council Project. 計劃編號: NSC-92-2115-M- 033- 0072. S.D. Lin, 關於 Hadamard 展式與多層無窮級數和關係之研究,
NSC-93-2115-M-033-008.
3. S.D. Lin, 關於多層基本的超越幾何級數之研究， NSC-94-2115-M-033-004.
4. S.D. Lin, 用拉氏變換求分數微分方程式系統之解， NSC-95-2115-M-033-006.
5. S.D. Lin, 對於超幾何多項式母函數之研究， NSC-96-2115-M-033-007
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