Results 11 to 20 of about 2,032 (227)

Applications of an identity of Andrews

Arab Journal of Mathematical Sciences, 2014
In this paper, we give a bilateral form of an identity of Andrews, which is a generalization of the 1ψ1 summation formula of Ramanujan. Using Andrews’ identity, we deduce some new identities involving mock theta functions of second order and finally, we ...
D.D. Somashekara, K. Narasimha Murthy
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Theta function identities from optical neural network transformations

International Journal of Mathematics and Mathematical Sciences, 1993
We take a new approach to the generation of Jacobi theta function identities. It is complementary to the procedure which makes use of the evaluation of Parseval-like identities for elementary cylindrically-symmetric functions on computer holograms.
E. Elizalde, A. Romeo
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Some Ramanujan theta function identities

Indian Journal of Pure and Applied Mathematics
Hemant Masal
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Exact Solutions for (3+1)-Dimensional Potential-YTSF Equation and Discrete Kadomtsev-Petviashvili Equation

Journal of Applied Mathematics, 2013
By employing Hirota bilinear method, we mainly discuss the (3+1)-dimensional potential-YTSF equation and discrete KP equation. For the former, we use the linear superposition principle to get its N exponential wave solutions.
Yan Wang, Zhenhui Wang
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On two theta function identities of Ramanujan

Indian Journal of Pure and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
K. R. Vasuki, A. I. Vijaya Shankar
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On certain relations among the generating functions for certain quadratic forms [PDF]

Notes on Number Theory and Discrete Mathematics
The object of this article is to establish the relation between the generating function of the quadratic form 2m²+2mn+3n² and the generating functions for the quadratic forms m²+mn+n², m²+mn+2n², m²+mn+4n² and 2m²+mn+2n².
K. R. Vasuki, P. Nagendra
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Some congruences for 3-component multipartitions

Open Mathematics, 2016
Let p3(n) denote the number of 3-component multipartitions of n. Recently, using a 3-dissection formula for the generating function of p3(n), Baruah and Ojah proved that for n ≥ 0, p3(9n + 5) ≡ 0 (mod 33) and p3 (9n + 8) ≡ 0 (mod 34).
Zhao Tao Yan, Jin Lily J., Gu C.
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An extension of the Andrews–Warnaar partial theta function identity [PDF]

Advances in Applied Mathematics, 2020
In this paper, by applying a range of classic summation and transformation formulas for basic hypergeometric series, we obtain a three-term identity for partial theta functions. It extends the Andrews-Warnaar partial theta function identity, and also unifies several results on partial theta functions due to Ramanujan, Lovejoy and Kim. We also establish
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Determinant identities for theta functions

Journal of Mathematical Analysis and Applications, 2008
Bei der Vielzahl von Identitäten zwischen Thetafunktionen haben sich eine Reihe von Autoren immer wieder bemüht, Ausgangsidentitäten zu finden, die eine Serie von Identitäten als Spezialfälle enthalten. Die Verff. stellen einige derartige Identitäten vor und beweisen u.a.
Cooper, S., Toh, P.C.
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New Types of Doubly Periodic Standing Wave Solutions for the Coupled Higgs Field Equation

Abstract and Applied Analysis, 2014
Based on the Hirota bilinear method and theta function identities, we obtain a new type of doubly periodic standing wave solutions for a coupled Higgs field equation.
Gui-qiong Xu
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