Bellman, Richard A brief introduction to theta functions. (English) Zbl 0098.28301 (Athena Series Selected Topics in Mathematics.) New York: Holt, Rinehart and Winston. X, 78 p. (1961). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 73 Documents Keywords:modular functions, automorphic functions, almost periodic functions PDFBibTeX XML Digital Library of Mathematical Functions: §20.10(ii) Laplace Transforms with respect to the Lattice Parameter ‣ §20.10 Integrals ‣ Properties ‣ Chapter 20 Theta Functions §20.10(i) Mellin Transforms with respect to the Lattice Parameter ‣ §20.10 Integrals ‣ Properties ‣ Chapter 20 Theta Functions §20.11(i) Gauss Sum ‣ §20.11 Generalizations and Analogs ‣ Properties ‣ Chapter 20 Theta Functions §20.13 Physical Applications ‣ Applications ‣ Chapter 20 Theta Functions §20.5(ii) Logarithmic Derivatives ‣ §20.5 Infinite Products and Related Results ‣ Properties ‣ Chapter 20 Theta Functions §20.7(viii) Transformations of Lattice Parameter ‣ §20.7 Identities ‣ Properties ‣ Chapter 20 Theta Functions §20.8 Watson’s Expansions ‣ Properties ‣ Chapter 20 Theta Functions