Transmutation of MacRobert E-Functions to Fox–Wright Functions via Erdelyi–Kober Fractional Operator
This research will present a comprehensive analysis of the Erdelyi–Kober (E-K) fractional integral operator and its action on various configurations of the hypergeometric form of MacRobert E-function.
null Kaynat +3 more
doaj +2 more sources
A Remark on the Fractional Integral Operators and the Image Formulas of Generalized Lommel–Wright Function [PDF]
In this paper, the operators of fractional integration introduced by Marichev-Saigo-Maeda involving Appell's function F3(·) are applied, and several new image formulas of generalized Lommel–Wright function are established.
Ritu Agarwal +4 more
doaj +2 more sources
An extended Mittag Leffler function in terms of extended Wright complex hypergeometric function
Advanced mathematical ideas such as the fractional integral operator and the Mittag-Leffler (M-L) function offer a strong foundation for comprehending complicated systems with memory and fractional dynamics.
Noreen Saba +4 more
doaj +2 more sources
Generalized fractional integration of the \overline{H}-function
A significantly large number of earlier works on the subject of fractional calculus give interesting account of the theory and applications of fractional calculus operators in many different areas of mathematical analysis (such as ordinary and partial ...
Praveen Agarwal
doaj +2 more sources
Highly and Lowly Domesticated Endangered Fish From a Conservation Hatchery Diverge in Their Thermal Physiology, Transcriptome, and Methylome. [PDF]
ABSTRACT Conservation hatcheries aim to produce fish for supplementation of wild populations, but hatchery environments may drive phenotypic divergence from wild fish. These diverged traits may have reduced fitness in the wild, which could compromise wild population sustainability and evolutionary potential, such as in response to climate change. Delta
Griffiths JS +6 more
europepmc +2 more sources
Gene Expression and Alternative Splicing Regulate Phenotypic Plasticity of a Social Wasp. [PDF]
This study demonstrates that patterns of differential gene expression and alternative splicing are partially linked in a social wasp. In addition, colony‐level environmental variation drives far stronger transcriptomic divergence than genetic differences, highlighting that social environment plays a strong role in shaping developmental plasticity ...
Catto MA +3 more
europepmc +2 more sources
A note on boundedness properties of Wright's generalized hypergeometric functions [PDF]
Here the authors obtain a few inequalities which give the boundedness properties for the Wright's generalized hypergeometric function which belong to the classes \(P(A,B)\) and \(R(A,B)\). Some consequences of the inequalities result into the boundedness properties for the generalized hypergeometric function \({}_pF_q(z)\) and also for the Bessel ...
Raina, R. K., Nahar, T. S.
openaire +2 more sources
Inclusion Relation between Various Subclasses of Harmonic Univalent Functions Associated with Wright’s Generalized Hypergeometric Functions [PDF]
The purpose of the present paper is to obtain some inclusion relation between various subclasses of harmonic univalent functions by applying certain convolution operators associated with Wright’s generalized hypergeometric functions.
Rajavadivelu Themangani +2 more
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Subclass of Multivalent Harmonic Functions Defi ned by Wright Generalized Hypergeometric Functions [PDF]
We introduce a new class of multivalent harmonic functions defi ned by Wright generalized hypergeometric function. Coefficient estimates, extreme points, distortion bounds, and convex combination for functions belonging to this class are obtained.
Aouf, M. K. +2 more
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Some properties of Wright-type generalized hypergeometric function via fractional calculus [PDF]
Abstract This paper is devoted to the study of a Wright-type hypergeometric function (Virchenko, Kalla and Al-Zamel in Integral Transforms Spec. Funct. 12(1):89-100, 2001) by using a Riemann-Liouville type fractional integral, a differential operator and Lebesgue measurable real or complex-valued functions.
Rao, Snehal B +3 more
openaire +1 more source

