Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight
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DOI: 10.1002/mma.5347
Abstract: This paper studies the Hankel determinants generated by a discontinuous Gaussian weight with one and two jumps. It is an extension of Chen and Pruessner \cite{Chen2005}, in which they studied the discontinuous Gaussian weight with… read more here.
Keywords: discontinuous gaussian; hankel determinants; weight; generated discontinuous ... See more keywords
HANKEL DETERMINANTS OF FACTORIAL FRACTIONS
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DOI: 10.1017/s0004972721000423
Abstract: Abstract By making use of the Cauchy double alternant and the Laplace expansion formula, we establish two closed formulae for the determinants of factorial fractions that are then utilised to evaluate several determinants of binomial… read more here.
Keywords: hankel determinants; determinants factorial; factorial fractions;
Hankel determinants for q-starlike functions connected with q-sine function
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DOI: 10.1515/dema-2024-0044
Abstract: Abstract This article comprises the study of a new class of starlike functions, which is defined by q q -fractional operator and subordination to the q q -analog of sine function. This q q -sine… read more here.
Keywords: hankel determinants; sine function; function; starlike functions ... See more keywords
Hankel Determinants and Coefficient Estimates for Starlike Functions Related to Symmetric Booth Lemniscate
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DOI: 10.3390/sym14071366
Abstract: In this paper, we find Hankel determinants and coefficient bounds for a subclass of starlike functions related to Booth lemniscate. In particular, we obtain the first four sharp coefficient bounds, Hankel determinants of order two… read more here.
Keywords: determinants coefficient; hankel determinants; starlike functions; booth lemniscate ... See more keywords