On the Generating Functions and Special Functions Associated with Superoscillations [PDF]
The aim of this paper is to study generating functions for the coefficients of the classical superoscillatory function associated with weak measurements. We also establish some new relations between the superoscillatory coefficients and many well-known families of special polynomials, numbers, and functions such as Bernstein basis functions, the ...
Colombo F. +3 more
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This paper studies the strong starlikeness of analytic functions associated with the right-half plane Cassini oval by establishing coefficient conditions for their power series expansions.
Saiful R Mondal, Ahmad K. Al Abdulaali
doaj +2 more sources
Special functions and generating functions associated with reflection groups [PDF]
An interesting account of multivariable special functions connected with reflection groups of finite orders has been presented via algebra of differential-difference operators. The finite groups considered here are the dihedral group, the symmetric group, the hyperoctahedral group and the icosahedral group.
Dunkl, Charles F.
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On behavior of solution for delta fractional differences associated with special functions
In this paper, a general idea of Mittag-Leffler function using discrete fractional of delta-type in the Riemann–Liouville sense is initiated. Asymptotic behavior of solutions associated with the Riemann–Liouville fractional difference is proposed herein ...
Pshtiwan Othman Mohammed +5 more
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Sums of Series of Rogers Dilogarithm Functions [PDF]
Some sums of series of Rogers dilogarithm functions are established by Abel’s functional ...
Qi, Feng, Hoorfar, Abdolhossein
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The Fractional Dunkl Laplacian: Definition and Harmonization via the Mellin Transform
In this paper, we extend the scope of the Tate and Ormerod Lemmas to the Dunkl setting, revealing a profound interconnection that intricately links the Dunkl transform and the Mellin transform.
Fethi Bouzeffour
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Functional Specialization and Flexibility in Human Association Cortex [PDF]
The association cortex supports cognitive functions enabling flexible behavior. Here, we explored the organization of human association cortex by mathematically formalizing the notion that a behavioral task engages multiple cognitive components, which are in turn supported by multiple overlapping brain regions.
B T Thomas, Yeo +7 more
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Addition formulae for Abelian functions associated with specialized curves [PDF]
We discuss a family of multi-term addition formulae for Weierstrass functions on specialized curves of low genus with many automorphisms, concentrating mostly on the case of genus 1 and 2. In the genus 1 case, we give addition formulae for the equianharmonic and lemniscate cases, and in genus 2 we find some new addition formulae for a number of curves.
Eilbeck, J. C. +2 more
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On Volume Functions of Special Flow Polytopes Associated to the Root System of Type $A$ [PDF]
In this paper, we consider the volume of a special kind of flow polytope. We show that its volume satisfies a certain system of differential equations, and conversely, the solution of the system of differential equations is unique up to a constant multiple.
Takayuki Negishi +2 more
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New Inequalities of Hermite-Hadamard Type for Functions Whose Second Derivatives Absolute Values are Quasi-Convex [PDF]
In this note we obtain some inequalities of Hermite-Hadamard type for functions whose second derivatives have quasi-convex absolute values.
Dragomir, Sever S +2 more
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