Classes of Harmonic Functions Related to Mittag-Leffler Function

被引：2

作者：

Al-Dohiman, Abeer A. ^{[1
]}

Frasin, Basem Aref ^{[2
]}

Tasar, Naci ^{[3
]}

Sakar, Fethiye Muge ^{[3
]}

机构：

[1] Jouf Univ, Fac Sci, Dept Math, POB 2014, Sakaka, Saudi Arabia

[2] Al al Bayt Univ, Fac Sci, Dept Math, Mafraq 25113, Jordan

[3] Dicle Univ, Fac Econ & Adm Sci, Dept Management, TR-21280 Diyarbakir, Turkiye

来源：

AXIOMS | 2023年 / 12卷 / 07期

关键词：

harmonic; univalent functions; harmonic starlike; harmonic convex; Mittag-Leffler function; HYPERGEOMETRIC-FUNCTIONS; UNIVALENT-FUNCTIONS; STARLIKE; SUBCLASSES; CONNECTIONS; CONVEX;

D O I：

10.3390/axioms12070714

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this paper is to find new inclusion relations of the harmonic class HF((sic),?) with the subclasses S-HF*,K-HF and T-HF(N)(t) of harmonic functions by applying the convolution operator T(I) associated with the Mittag-Leffler function. Further for (sic) = 0, several special cases of the main results are also obtained.

引用

页数：12

共 50 条

[31] Properties of the Mittag-Leffler Relaxation Function
Mário N. Berberan-Santos
Journal of Mathematical Chemistry, 2005, 38 : 629 - 635
[32] Exponential asymptotics of the Mittag-Leffler function
Paris, RB
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2002, 458 (2028): : 3041 - 3052
[33] Certain Quantum Operator Related to Generalized Mittag-Leffler Function
Yassen, Mansour F.
Attiya, Adel A.
MATHEMATICS, 2023, 11 (24)
[34] When is a Mittag-Leffler function a Nussbaum function?
Li, Yan
Chen, YangQuan
AUTOMATICA, 2009, 45 (08) : 1957 - 1959
[35] A further extension of Mittag-Leffler function
Maja Andrić
Ghulam Farid
Josip Pečarić
Fractional Calculus and Applied Analysis, 2018, 21 : 1377 - 1395
[36] Asymptotics for a variant of the Mittag-Leffler function
Gerhold, Stefan
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (06) : 397 - 403
[37] Integral Representation of the Mittag-Leffler Function
Saenko, V. V.
RUSSIAN MATHEMATICS, 2022, 66 (04) : 43 - 58
[38] On Mittag-Leffler type function and applications
Saigo, M
Kilbas, AA
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1998, 7 (1-2) : 97 - 112
[39] Battery Modeling with Mittag-Leffler Function
Abdelhafiz, Shahenda M.
Fouda, Mohammed E.
Radwan, Ahmed G.
2024 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, ISCAS 2024, 2024,
[40] On the Numerical Computation of the Mittag-Leffler Function
Ortigueira, Manuel D.
Lopes, Antonio M.
Machado, Jose Tenreiro
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2019, 20 (06) : 725 - 736

← 1 2 3 4 5 →