Approximation of functions by complex conformable derivative bases in Frechet spaces

被引：8

作者：

HAssan, Gamal ^{[1
]}

Abdel-salam, Emad ^{[2
]}

Rashwan, Rashwan ^{[1
]}

机构：

[1] Univ Assiut, Fac Sci, Dept Math, Assiut 71516, Egypt

[2] Univ New Valley, Fac Sci, Dept Math, El Kharja 72511, Egypt

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2023年 / 46卷 / 02期

关键词：

bases; basic series; complex conformable fractional derivative and integral; effectiveness; Frechet space; order; type; T-rho-property; GENERALIZED HADAMARD PRODUCT; POLYNOMIALS; SERIES; ORDER; GROWTH; EXPANSIONS; DIFFERENCE; SETS;

D O I：

10.1002/mma.8664

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, the representation, in different domains, of analytic functions by complex conformable fractional derivative bases (CCFDB) and complex conformable fractional integral bases (CCFIB) in Frechet space are investigated. Results are proved to show that such representation is possible in closed disks, open disks, open regions surrounding closed disks, at the origin, and for all entire functions. Also, some results concerning the growth order and type of CCFDB and CCFIB are determined. Moreover, the T-rho-property of CCFDB and CCFIB is discussed. The obtained results recover some known results when alpha = 1. Finally, some applications to the CCFDB and CCFIB of Bernoulli, Euler, Bessel, and Chebyshev polynomials have been studied.

引用

页码：2636 / 2650

页数：15

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