A STUDY ON SOME NEW RESULTS ARISING FROM (p, q)-CALCULUS

被引：0

作者：

Duran, Ugur ^{[1
]}

Acikgoz, Mehmet ^{[2
]}

Araci, Serkan ^{[3
]}

机构：

[1] Iskenderun Tech Univ, Fac Engn & Nat Sci, Dept Basic Concepts Engn, Antakya, Turkey

[2] Gaziantep Univ, Fac Arts & Sci, Dept Math, Gaziantep, Turkey

[3] Hasan Kalyoncu Univ, Fac Econ Adm & Social Sci, Dept Econ, Gaziantep, Turkey

来源：

TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS | 2020年 / 11卷 / 01期

关键词：

q-calculus; (p; q)-calculus; exponential functions; trigonometric functions; hyperbolic functions; Q)-ANALOG; BERNOULLI;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper includes some new investigations and results for post quantum calculus, denoted by (p, q)-calculus. A chain rule for (p, q)-derivative is given. Also, a new (p, q)-analogue of the exponential function is introduced and its properties including the addition property for (p, q)-exponential functions are investigated. Several useful results involving (p, q)binomial co-efficients and (p, q)-antiderivative are discovered. At the final part of this paper, (p, q)-analogue of some elementary functions including trigonometric functions and hyperbolic functions are considered and some properties and relations among them are analyzed extensively.

引用

页码：57 / 71

页数：15

共 25 条

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