Quartic theta hypergeometric series
From MaRDI portal
Publication:385608
DOI10.1007/s11139-012-9414-6zbMath1323.33017OpenAlexW2084214474MaRDI QIDQ385608
Publication date: 2 December 2013
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11139-012-9414-6
Abel's lemma on summation by partstheta hypergeometric seriesWeierstrass' three-term identitywell-poised series
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elliptic functions and integrals (33E05)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Inversions of integral operators and elliptic beta integrals on root systems
- Abel's method on summation by parts and theta hypergeometric series
- Abel's lemma on summation by parts and terminating \(q\)-series identities
- Elliptic hypergeometric series on root systems.
- Multiple elliptic hypergeometric series. An approach from the Cauchy determinant
- Extensions of the well-poised and elliptic well-poised Bailey lemma
- Modular hypergeometric residue sums of elliptic Selberg integrals
- Summation and transformation formulas for elliptic hypergeometric series.
- Abel's lemma on summation by parts and basic hypergeometric series
- Bailey's very well-poised \(_6\psi_6\)-series identity
- Theta function identities and Ramanujan's Congruences on the partition function
- COMMON SOURCE OF NUMEROUS THETA FUNCTION IDENTITIES
- An Indefinite Bibasic Summation Formula and Some Quadratic, Cubic and Quartic Summation and Transformation Formulas
- Essays on the theory of elliptic hypergeometric functions
- Summation, Transformation, and Expansion Formulas for Bibasic Series
- Summation formulae for elliptic hypergeometric series
- A new matrix inverse
- An elliptic Macdonald-Morris conjecture and multiple modular hypergeometric sums
