Results 191 to 200 of about 2,032 (227)
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Some theta-function identities
Applied Mathematics and Computation, 2007Using an identity obtained in an earlier paper [\textit{B. Srivastava}, Kyungpook Math. J. 45, 603--607 (2005; Zbl 1101.11005)] the author derives new theta-function identities. One of these leads to another proof of the classical formula for the number of representations of a positive integer as a sum of two squares.
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Two identities on the mock theta function V0(q)
Journal of Mathematical Analysis and Applications, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Renrong Mao
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Identities involving mock theta functions and theta functions
Proceedings of the American Mathematical Society, 2023In this paper, we first present new representations for several mock theta functions. In view of the sign flips on these identities, some interesting results involving theta functions are established by new Bailey pairs and Watson’s 8 ϕ 7 _8\phi _7 transformation ...
Song, Hanfei, Wang, Chun
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Integral Transforms and Special Functions, 2016
ABSTRACTLiu [An extension of the quintuple product identity and its applications. Pacific J Math. 2010;246:345–390] established a theta function identity. In this paper, we will give an equivalent form of Liu's identity, from which some non-trivial identities on circular summation of theta functions are deduced.
Hainan Ma, Bing He
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ABSTRACTLiu [An extension of the quintuple product identity and its applications. Pacific J Math. 2010;246:345–390] established a theta function identity. In this paper, we will give an equivalent form of Liu's identity, from which some non-trivial identities on circular summation of theta functions are deduced.
Hainan Ma, Bing He
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Identities for Certain Products of Theta Functions
The Ramanujan Journal, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Shu-Ling, Huang, Sen-Shan
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On the Andrews–Warnaar identities for partial theta functions
Advances in Applied Mathematics, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Wang 0037, Xinrong Ma
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Cubic Identities of Theta Functions
The Ramanujan Journal, 1998A number of useful and interesting cubic identities involving theta functions are available in Ramanujan's Lost Note book. In this paper several theorems are established, in order to prove, some of these cubic identities. For proving the theorems the author employed addition formulas, the Jacobi triple product identity and the quintuple product ...
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Residue Theorem and Theta Function Identities
The Ramanujan Journal, 2001The residue theorem is applied with ingenuity to elliptic functions to prove some identities of Ramanujan as well as some new identities. The idea is simply to use the fact that the sum of the residues of an elliptic function in a period parallelogram is zero. We quote two of the many results obtained.
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SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES
International Journal of Number Theory, 2012Two pairs of inverse relations for elliptic theta functions are established with the method of Fourier series expansion, which allow us to recover many classical results in theta functions. Many nontrivial new theta function identities are discovered. Some curious trigonometric identities are derived.
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