TY - JOUR
T1 - On Borewein’s Cubic Theta Functions and h-Functions
AU - Chandrashekara, Vidya Harekala
AU - Badanidiyoor, Ashwath Rao
N1 - Publisher Copyright:
© 2024, International Association of Engineers. All rights reserved.
PY - 2024
Y1 - 2024
N2 - On page 188 of his lost notebook, Ramanujan introduced distinct classes of exquisite infinite series, representing them in terms of Eisenstein series. The objective of this paper is to develop various differential identities related to Borwein’s cubic theta functions and h-functions. Also, we present certain identities containing Eisenstein series of level 6 and h-functions that are used to establish relations involving class one infinite series and h-functions. Additionally, we present a straightforward approach to evaluate a discrete convolution sum by employing relationships involving Eisenstein series and h-functions.
AB - On page 188 of his lost notebook, Ramanujan introduced distinct classes of exquisite infinite series, representing them in terms of Eisenstein series. The objective of this paper is to develop various differential identities related to Borwein’s cubic theta functions and h-functions. Also, we present certain identities containing Eisenstein series of level 6 and h-functions that are used to establish relations involving class one infinite series and h-functions. Additionally, we present a straightforward approach to evaluate a discrete convolution sum by employing relationships involving Eisenstein series and h-functions.
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M3 - Article
AN - SCOPUS:85197705314
SN - 1816-093X
VL - 32
SP - 1038
EP - 1042
JO - Engineering Letters
JF - Engineering Letters
IS - 5
ER -