Doctoral Dissertations
Keywords and Phrases
Bessel Functions; Difference Equations; Discrete Calculus; Hypergeometric Series; Special Functions; Time Scale Calculus
Abstract
"Analogues of special functions on time scales are studied with special focus on the time scale 𝕋 = hℤ. Functions investigated in particular include complex monomials, new trigonometric functions, Gaussian bell, Hermite and Laguerre polynomials, Bessel functions, and hypergeometric series"--Abstract, page iii.
Advisor(s)
Bohner, Martin, 1966-
Committee Member(s)
Akin, Elvan
Grow, David E.
Insall, Matt
Jentschura, Ulrich D.
Department(s)
Mathematics and Statistics
Degree Name
Ph. D. in Mathematics
Publisher
Missouri University of Science and Technology
Publication Date
Summer 2015
Pagination
x, 119 pages
Note about bibliography
Includes bibliographic references (pages 116-118).
Rights
© 2015 Thomas Joseph Cuchta, All rights reserved.
Document Type
Dissertation - Open Access
File Type
text
Language
English
Thesis Number
T 11338
Electronic OCLC #
1041856334
Recommended Citation
Cuchta, Thomas Joseph, "Discrete analogues of some classical special functions" (2015). Doctoral Dissertations. 2645.
https://scholarsmine.mst.edu/doctoral_dissertations/2645
