A basic bilateral series summation formula and its applications
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Publication:4837528
DOI10.1080/10652469408819049zbMath0823.33009OpenAlexW2064938003MaRDI QIDQ4837528
No author found.
Publication date: 23 October 1995
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469408819049
Related Items (8)
A reciprocity theorem for certain \(q\)-series found in Ramanujan's lost notebook ⋮ Partition implications of a three-parameter \(q\)-series identity ⋮ Unnamed Item ⋮ Some transformations on the bilateral series \(_2\psi_2\) ⋮ Unnamed Item ⋮ On a new summation formula for \(_{2}\psi _{2}\) basic bilateral hypergeometric series and its applications ⋮ Properties of the Appell-Lerch function (I) ⋮ Unnamed Item
Cites Work
- Unnamed Item
- The q-analogue of the Laguerre polynomials
- Ramanujan's ``lost notebook. I: Partial Theta-functions
- A simple proof of Ramanujan's summation of the \(_1\Psi_1\)
- Some eta-function identities deducible from Ramanujan's \(_ 1\Psi_ 1\) summation
- A Simple Proof of Fermat's Two-Square Theorem
- A Simple Proof of Jacobi's Two-Square Theorem
- Ramanujan's Extensions of the Gamma and Beta Functions
- A q-EXTENSION OF CAUCHY'S FORM OF THE BETA INTEGRAL
- Theq-Gamma andq-Beta Functions†
- An Introduction to Ramanujan's "lost" Notebook
- Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation
- On Lerch's Transcendant and the Basic Bilateral Hypergeometric Series 2 ψ2
- ON THE BASIC BILATERAL HYPERGEOMETRIC SERIES 2ψ2
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