Certain classes of infinite series

Monatshefte fur Mathematik

Volumn 127, Issue 1, 1999, Pages 15-25

  Choi, Junesang ^a   Srivastava, H M ^b  

^a Dongguk University   (South Korea)

^b UNIVERSITY OF VICTORIA   (Canada)

Author keywords

Generalized hypergeometric series; Polygamma functions; Stirling numbers

Indexed keywords

EID: 0039521400     PISSN: 00269255     EISSN: None     Source Type: Journal    
DOI: 10.1007/s006050050019     Document Type: Article

References (15)

1. AL-SAQABI BN, KALLA SL, SRIVASTAVA HM (1991) A certain family of infinite series associated with Digamma functions. J Math Anal Appl 159: 361-372
2. AULAR DE DURÁN J, KALLA SL, SRIVASTAVA HM (1995) Fractional calculus and the sums of certain families of infinite series. J Math Anal Appl 190: 738-754
3. CHOI J, SEO TY (1997) Evaluation of some infinite series. Indian J Pure Appl Math 28: 791-796
4. COMTET L (1974) Advanced Combinatorics: The Art of Finite and Infinite Expansions (translated from French by JW Nienhuys), Dordrecht: Reidel
5. DAVIS HT (1962) The Summation of Series. San Antonio, Texas: The Principia Press of Trinity University
6. ERDÉLYI A, MAGNUS W, OBERHETTINGER F, TRICOMI FG (1953) Higher Transcendental Functions, Vol I. New York: McGraw-Hill
7. GAUSS CF (1812) Disquisitiones generales circa seriem infinitam ... Thesis, Univ Göttingen; Comment Soc Reg Sci Göttingensis Recent 2 (1813) (Reprinted in Carl Friedrich Gauss Werke, 12 vols, vol. 3, pp. 123-162, see also pp. 207-230, Göttingen, 1870-1933)
8. PÓLYA G, SZEGÖ G (1972) Problems and Theorems in Analysis (translated from German by D Aeppli), Vol. I. New York Heidelberg Berlin: Springer
9. RAINVILLE ED (1960) Special Functions. New York: Macmillan
10. SHEN LI-CHIEN (1995) Remarks on some integrals and series involving the Stirling numbers and ζ(n). Trans Amer Math Soc 347: 1391-1399
11. SLATER LJ (1966) Generalized Hypergeometric Functions. Cambridge: Univ Press
12. SRIVASTAVA HM, MANOCHA HL (1984) A Treatise on Generating Functions. Halsted Press (Ellis Horwood Limited, Chichester), New York: Wiley
13. SRIVASTAVA HM (1990) A class of infinite series involving binomial and factorial coefficients. Internat J Math Ed Sci Tech 21: 75-79
14. SRIVASTAVA HM (1992) A simple algorithm for the evaluation of a class of generalized hypergeometric series. Stud Appl Math 86: 79-86
15. WHITTAKER ET, WATSON GN (1958) A Course of Modern Analysis, 4th edn. Cambridge: Univ Press