호남수학학술지 (Honam Mathematical Journal)

  • 제22권1호
  • /
  • Pages.53-60
  • /
  • 2000
  • /
  • 1225-293X(pISSN)
  • /
  • 2288-6176(eISSN)
호남수학회 (The Honam Mathematical Society)
권호 표지

INFINITE SERIES ASSOCIATED WITH PSI AND ZETA FUNCTIONS

  • KIM, YONGSUP (Dept. of Mathematics, College of Natural Sciences, Wonkwang University)
  • 투고 : 2000.03.07
  • 발행 : 2000.07.30
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초록

We evaluate some interesting families of infinite series expressed in terms of the Psi (or Digamma) and Zeta functions by analyzing the well-known identity associated with $_3F_2$ due to Watson. Some special cases are also considered.

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과제정보

연구 과제 주관 기관 : Wonkwang University

참고문헌

  1. J. Math. Anal. Appl. v.159 A certain family of infinite series associated with Digamma functions Al-Saqabi, B.N.;Kalla, S.L.;Srivastava, H.M.
  2. J. Math. Anal. Appl. v.190 Fractional calculus and the sums of certain families of infinite series Aular de Duran, J.;Kalla, S.L.;Srivastava, H.M.
  3. Generalized hypergemetric series Bailey, W.N.
  4. Indian J. Pure Appl. Math. v.28 Evaluation of some infinite series Choi, J.;Seo, T.Y.
  5. Mh. Math. v.127 Certain classes of infinite series Choi, J.;Srivastava, H.M.
  6. The Summation of Series Davis, H.T.
  7. Tables of Integrals, Series and Products Gradshteyn, I.S.;Ryzhik, I.M.;Jeffrey, A.(ed.)
  8. Speical Functions Rainville, E.D.
  9. Trans. Amer. Math. Soc. v.347 Remarks on some integrals and series involving the Stirling numbers and ${\zeta}(n)$ Shen, Le-Chien
  10. A Treatise on Generating Functions Srivastava, H.M.;Manocha, H.L.
  11. A Course of Modern Analysis Whittaker, E.T.;Watson, G.N.