SOME q-CONTINUED FRACTIONS OF ORDER TWENTY-TWO AND FORTY-FOUR, THETA-FUNCTION IDENTITIES AND APPLICATIONS TO PARTITION THEORY

Vijaylaxmi Patil; D. Anu Radha

SOME q-CONTINUED FRACTIONS OF ORDER TWENTY-TWO AND FORTY-FOUR, THETA-FUNCTION IDENTITIES AND APPLICATIONS TO PARTITION THEORY

Vijaylaxmi Patil
, D. Anu Radha

Department of Mathematics, Manipal Institute of Technology, Manipal

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

Abstract

Five continued fractions of orders twenty-two and forty-four are derived from Ramanujan’s general continued fraction identity. Additionally, the corresponding theta functions for these continued fractions were obtained, along with several partition identities that were established using the colored partition of integers.

Original language	English
Pages (from-to)	89-97
Number of pages	9
Journal	Global and Stochastic Analysis
Volume	12
Issue number	3
Publication status	Published - 05-2025

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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title = "SOME q-CONTINUED FRACTIONS OF ORDER TWENTY-TWO AND FORTY-FOUR, THETA-FUNCTION IDENTITIES AND APPLICATIONS TO PARTITION THEORY",

abstract = "Five continued fractions of orders twenty-two and forty-four are derived from Ramanujan{\textquoteright}s general continued fraction identity. Additionally, the corresponding theta functions for these continued fractions were obtained, along with several partition identities that were established using the colored partition of integers.",

author = "Vijaylaxmi Patil and \{Anu Radha\}, D.",

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AB - Five continued fractions of orders twenty-two and forty-four are derived from Ramanujan’s general continued fraction identity. Additionally, the corresponding theta functions for these continued fractions were obtained, along with several partition identities that were established using the colored partition of integers.

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SOME q-CONTINUED FRACTIONS OF ORDER TWENTY-TWO AND FORTY-FOUR, THETA-FUNCTION IDENTITIES AND APPLICATIONS TO PARTITION THEORY

Abstract

All Science Journal Classification (ASJC) codes

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