Exponential integral representations of theta functions

DOI10.1007/s40315-020-00332-xzbMath1467.30009arXiv1912.10568OpenAlexW2995466708WikidataQ115600674 ScholiaQ115600674MaRDI QIDQ2228038

Andrew Bakan, Haakan Hedenmalm

Publication date: 16 February 2021

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1912.10568

zbMATH Keywords

elliptic modular functiontheta functionsGauss hypergeometric functionstar-like functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Uses Software

• DLMF

Cites Work

• Completely monotone sequences and universally prestarlike functions
• Elliptic functions and applications
• Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman
• Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\)
• Analytic Eisenstein series, theta-functions, and series relations in the spirit of Ramanujan.
• Nevanlinna Matrices of Entire Functions
• Universal convexity and universal starlikeness of polylogarithms
• Real and functional analysis
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Exponential integral representations of theta functions