Explicit evaluation of some of the theta-function identities

Shruthi; B. R.Srivatsa Kumar

doi:10.18514/MMN.2020.3091

Explicit evaluation of some of the theta-function identities

Shruthi, B. R.Srivatsa Kumar^*

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we evaluate two parameters h_{k, n} and h^'_{k, n} of some P-Q type Theta functions ϕ(q) for any positive real numbers k and n. During this process, we also evaluate Ramanujan's cubic continued fraction.

Original language	English
Pages (from-to)	387-400
Number of pages	14
Journal	Miskolc Mathematical Notes
Volume	21
Issue number	1
DOIs	https://doi.org/10.18514/MMN.2020.3091
Publication status	Published - 2020

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory
Numerical Analysis
Discrete Mathematics and Combinatorics
Control and Optimization

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10.18514/MMN.2020.3091

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title = "Explicit evaluation of some of the theta-function identities",

abstract = "In this paper, we evaluate two parameters hk, n and h'k, n of some P-Q type Theta functions ϕ(q) for any positive real numbers k and n. During this process, we also evaluate Ramanujan's cubic continued fraction.",

author = "Shruthi and Kumar, \{B. R.Srivatsa\}",

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AB - In this paper, we evaluate two parameters hk, n and h'k, n of some P-Q type Theta functions ϕ(q) for any positive real numbers k and n. During this process, we also evaluate Ramanujan's cubic continued fraction.

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Explicit evaluation of some of the theta-function identities

Abstract

All Science Journal Classification (ASJC) codes

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