Introduction and preliminaries

A. Baricz, Dragana Jankov Maširević, Tibor K. Pogány

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

We begin with a brief outline of special functions and methods, which will be needed in the next chapters. We recall here briefly the Gamma, Beta, Digamma functions, Pochhammer symbol, Bernoulli polynomials and numbers, Bessel, modified Bessel, generalized hypergeometric, Fox–Wright generalized hypergeometric, Hurwitz–Lerch Zeta functions, the Euler–Maclaurin summation formula together with Dirichlet series and Cahen’s formula, Mathieu series, Bessel and Struve differential equations, Fourier-Bessel and Dini series of Bessel functions and fractional differintegral.

Original languageEnglish
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Verlag
Pages1-25
Number of pages25
DOIs
Publication statusPublished - Jan 1 2017

Publication series

NameLecture Notes in Mathematics
Volume2207
ISSN (Print)0075-8434

Fingerprint

Friedrich Wilhelm Bessel
Pochhammer Symbol
Hurwitz-Lerch Zeta Function
Digamma Function
Summation Formula
Bernoulli Polynomials
Bernoulli numbers
Series
Dirichlet Series
Bessel Functions
Special Functions
Fractional
Differential equation

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Baricz, A., Jankov Maširević, D., & Pogány, T. K. (2017). Introduction and preliminaries. In Lecture Notes in Mathematics (pp. 1-25). (Lecture Notes in Mathematics; Vol. 2207). Springer Verlag. https://doi.org/10.1007/978-3-319-74350-9_1

Introduction and preliminaries. / Baricz, A.; Jankov Maširević, Dragana; Pogány, Tibor K.

Lecture Notes in Mathematics. Springer Verlag, 2017. p. 1-25 (Lecture Notes in Mathematics; Vol. 2207).

Research output: Chapter in Book/Report/Conference proceedingChapter

Baricz, A, Jankov Maširević, D & Pogány, TK 2017, Introduction and preliminaries. in Lecture Notes in Mathematics. Lecture Notes in Mathematics, vol. 2207, Springer Verlag, pp. 1-25. https://doi.org/10.1007/978-3-319-74350-9_1
Baricz A, Jankov Maširević D, Pogány TK. Introduction and preliminaries. In Lecture Notes in Mathematics. Springer Verlag. 2017. p. 1-25. (Lecture Notes in Mathematics). https://doi.org/10.1007/978-3-319-74350-9_1
Baricz, A. ; Jankov Maširević, Dragana ; Pogány, Tibor K. / Introduction and preliminaries. Lecture Notes in Mathematics. Springer Verlag, 2017. pp. 1-25 (Lecture Notes in Mathematics).
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