Some summation theorems for Clausen's hypergeometric functions with unit argument
From MaRDI portal
Publication:3300206
zbMath1444.33002arXiv1806.07949MaRDI QIDQ3300206
Mohammad Afzal Shadab, Mohammad Idris Qureshi
Publication date: 28 July 2020
Full work available at URL: https://arxiv.org/abs/1806.07949
generalized hypergeometric seriesEuler's constantClausen's hypergeometric functiondigamma \(\psi\) function
Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90) Classical hypergeometric functions, ({}_2F_1) (33C05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- How can we escape Thomae's relations?
- Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric \(k\)-function
- Comment on a paper of Rao et al., an entry of Ramanujan and a new \(_3F_2(1)\).
- Transcendental values of the digamma function
- Generalized Watson's summation formula for \(_3F_2(1)\)
- An entry of Ramanujan on hypergeometric series in his Notebooks
- Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
- Clausen's series3F2(1) with integral parameter differences and transformations of the hypergeometric function2F2(x)
- Certain transformations and summations for generalized hypergeometric series with integral parameter differences
- Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters
- Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences
- A massive Feynman integral and some reduction relations for Appell functions
- A study of new hypergeometric transformations
- Karlsson–Minton summation theorems for the generalized hypergeometric series of unit argument
- Euler constants for arithmetic progressions
- Generalized hypergeometric k-functions via (k,s)-fractional calculus
- On two Thomae-type transformations for hypergeometric series with integral parameter differences
