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On some type of the generalized (by Wright) \(m\)-Bessel functions and their applications

The authors introduce the generalized (by Wright) \(m\)-Bessel function of the first kind and the generalized (by Wright) \(m\)-Lommel-Bessel-Maitland function. Properties of these functions are studied. In particular, their relations with the generalized hypergeometric function, asymptotic behavior as \( x \to 0 \), and integral representations are ...
Virchenko, N. O., Haidei, V. O.
openaire   +2 more sources

Functional estimates and integral inequalities for the Fox–Wright function

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2020
Khaled Mehrez
exaly  

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Frontiers in Physics, 2018
Dumitru Baleanu   +2 more
exaly  

Access Suspended

Electronic Communications in Probability, 2007
Pierre Bernard Patie
exaly  

Theorems on the Convergence of Series in Generalized Lommel-Wright Functions

2010
The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve ...
openaire   +1 more source

AN APPLICATION OF GENERALIZED WRIGHT FUNCTION ON CERTAIN SUBCLASSES OF UNIVALENT FUNCTIONS

South East Asian Journal of Mathematics and Mathematical Sciences
Anamika Srivastava   +2 more
openaire   +1 more source

On Wright’s generalized Bessel kernel

Physica D: Nonlinear Phenomena, 2017
Lun Zhang
exaly  

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