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Certain inequalities for series involving the generalized hypergeometric function 2F2

Praveen Agarwal|최준상|Shilpi Jain|S. S. Dragomir
장전수학회 (Jangjeon Mathematical Society)|2016.04|Advanced Studies in Contemporary Mathematics|제26권 제2호|pp. 285-289

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키워드

Gamma functionBeta functionPochhammer symbolGeneralized hypergeometric functions pFq
주제분류수학

초록

The objective of this paper is to establish certain inequal- ities for series involving the generalized hypergeometric function 2F2 with the help of some known inequalities for 2F1 introduced by Koti [4]. Among a large number of possible special cases of our main results, only one special case is considered.

Abstract

The objective of this paper is to establish certain inequal- ities for series involving the generalized hypergeometric function 2F2 with the help of some known inequalities for 2F1 introduced by Koti [4]. Among a large number of possible special cases of our main results, only one special case is considered.

참고문헌 (7)

  1. R. Askey, "Polynomials and Special Functions (Regional Conferences Series in Applied Mathematics)", Society for Industrial and Applied Mathematics (1975)
  2. B. C. Carlson, "Some inequalities for generalized Hypergeometric functions", Proc. Amer. Math. Soc, 17, pp.32~39 (1966)
  3. 최준상, "Certain Fractional Integral Inequalities Involving Hypergeometric Operators", East Asian Mathematical Journal, 30(3), pp.283~291 (2014), 영남수학회[DOI]
  4. K. M. Koti, "Some inequalities in hypergeometric functions using statistical techniques", Indian J. Pure Appl. Math, 22, pp.389~396 (1991)
  5. Y. L. Luke, "Inequalities for generalized hypergeometric functions", J. Approx. Theory, 5(2), pp.41~65 (1972)
  6. R. K. Raina, "Some inequalities involving the Fox's H-function", Proc. Indian Acad. Sect. A, 83, pp.33~40 (1976)
  7. H. M. Srivastava, "Zeta and q-Zeta Functions and Associated Series and Integrals" (2012), Elsevier Science Publishers

관련 논문AI추천

CERTAIN SUMMATION FORMULAS FOR HUMBERT’S DOUBLE HYPERGEOMETRIC SERIES Ψ2 AND Φ2최준상, Arjun Kumar Rathie대한수학회 · 대한수학회논문집2015 · 제30권 제4호An Identity Involving Product of Generalized Hypergeometric Series 2F2김용섭, 최준상, Arjun Kumar Rathie경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제2호TWO RESULTS FOR THE TERMINATING 3F2(2) WITH APPLICATIONS김용섭, 최준상, Arjun K. Rathie대한수학회 · 대한수학회보2012 · 제49권 제3호Certain Fractional Integral Inequalities Involving Hypergeometric Operators최준상, Praveen Agarwal영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호Certain Fractional Integral Operators and Extended General- ized Gauss Hypergeometric Functions최준상, Praveen Agarwal, Shilpi Jain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제3호Two general hypergeometric transformation formulas최준상, Arjun K. Rathie대한수학회 · 대한수학회논문집2014 · 제29권 제4호

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