Open Access Research Article

Non-Newtonian Generating Functions

Murat Erdogan1 and Cenap Duyar2*

1Ministry of National Education, Bahattin Sevim Köksal Anatolian High School, Tekkeköy, Samsun, Turkey

2Ondokuz Mayıs University, Faculty of Arts and Science, Department of Mathematics, Kurupelit Campus, Samsun, Turkey

Corresponding Author

Received Date:November 18, 2022;  Published Date:December 01, 2022

Abstract

In this study, generating functions will be introduced in Non-Newtonian calculus. Their properties will be shown. In different calculus, generating functions of same sequence and sequence generated by same function will be examined. Important remarks and non-Newtonian Fibonacci numbers will be obtained.

Keywords:Non-Newtonian generating function; Non-Newtonian formal power series; Non-Newtonian Fibonacci numbers

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