Analytic differenceability of functions
Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
View: 216
This Paper With 12 Page And PDF Format Ready To Download
- Certificate
- من نویسنده این مقاله هستم
استخراج به نرم افزارهای پژوهشی:
شناسه ملی سند علمی:
JR_MACA-3-1_001
تاریخ نمایه سازی: 16 اردیبهشت 1400
Abstract:
Analytic summability of functions was introduced by Hooshmand in ۲۰۱۶. He used Bernoulli numbers and polynomials Bn(z) to define analytic summability and related analytic summand functions. Since the Bernoulli and Euler polynomials have many similarities, so it motivated us to define differenceability and introduce analytic difference function of a complex or real function by utilizing the Euler numbers and polynomials En(z). Also, we prove some criteria for analytic differenceability of analytic functions. Moreover, we observe that the analytic difference function is indeed a series of the Euler polynomials and arrive at some series convergence tests for Euler polynomial series Σ∞n=۰cnEn(z).
Keywords:
Authors
Soodeh Mehboodi
Zand Institute of Higher Education, Shiraz, Iran.
Mohammad Hooshmand
Department of Mathematics, Shiraz Branch, Islamic Azad University, Shiraz, Iran.