Turkish Journal of Analysis and Number Theory
ISSN (Print): 2333-1100 ISSN (Online): 2333-1232 Website: http://www.sciepub.com/journal/tjant
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Turkish Journal of Analysis and Number Theory. 2018, 6(3), 90-92
DOI: 10.12691/tjant-6-3-4
Open AccessResearch Article

Ward’s Generalized Special Functions

Anthony G. Shannon1, and Ömür Deveci2

1Emeritus Professor, University of Technology Sydney, NSW 2007, Australia, Fellow, Warrane College, University of New South Wales, Kensington NSW 2033

2Department of Mathematics, Faculty of Science & Letters, Kafkas University, 36100, Kars, Turkey

Pub. Date: June 30, 2018

Cite this paper:
Anthony G. Shannon and Ömür Deveci. Ward’s Generalized Special Functions. Turkish Journal of Analysis and Number Theory. 2018; 6(3):90-92. doi: 10.12691/tjant-6-3-4

Abstract

This paper considers generalizations of Bernoulli and Euler numbers to clarify and extend some known relations studied by Morgan Ward. It does this with the Euler-Maclaurin sum formula. It relates the mappings to category theory as a means of applying the ideas further.

Keywords:
Special function Bernoulli polynomial Euler function difference operator normal sequence divisibility sequence difference operator generalized integer Fermatian numbers Euler-Maclaurin sum-formula commutative diagram category

Creative CommonsThis work is licensed under a Creative Commons Attribution 4.0 International License. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/

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