Novel summation formulas for Jacobi and Gegenbauer polynomials
Sign Up to like & getrecommendations! Published in 2021 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2021.1902321
Abstract: Thermal equilibrium of a two-dimensional model of mobile point-like charges with pair logarithmic interactions, immersed in a fixed neutralising background, is exactly solvable at a special coupling constant. Assuming gauge invariance of the statistical mechanics… read more here.
Keywords: gegenbauer polynomials; novel summation; jacobi gegenbauer; summation ... See more keywords
Complexity-like properties and parameter asymptotics of Lq -norms of Laguerre and Gegenbauer polynomials
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/ac3320
Abstract: The main monotonic statistical complexity-like measures of the Rakhmanov’s probability density associated to the hypergeometric orthogonal polynomials (HOPs) in a real continuous variable, each of them quantifying two configurational facets of spreading, are examined in… read more here.
Keywords: laguerre gegenbauer; gegenbauer polynomials; parameter asymptotics; gegenbauer ... See more keywords
A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
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DOI: 10.3390/axioms12020128
Abstract: Three subclasses of analytic and bi-univalent functions are introduced through the use of q−Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds a2 and a3 as well… read more here.
Keywords: univalent functions; generalization gegenbauer; gegenbauer polynomials; polynomials univalent ... See more keywords
Coefficient Results concerning a New Class of Functions Associated with Gegenbauer Polynomials and Convolution in Terms of Subordination
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DOI: 10.3390/axioms12040360
Abstract: Gegenbauer polynomials constitute a numerical tool that has attracted the interest of many function theorists in recent times mainly due to their real-life applications in many areas of the sciences and engineering. Their applications in… read more here.
Keywords: function; coefficient results; gegenbauer polynomials; results concerning ... See more keywords
Estimates for the Coefficients of Subclasses Defined by the Bell Distribution of Bi-Univalent Functions Subordinate to Gegenbauer Polynomials
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DOI: 10.3390/math11081799
Abstract: In the real world there are many applications that find the Bell distribution to be a useful and relevant model. One of these is the normal distribution. In this paper, we develop a new subclass… read more here.
Keywords: univalent functions; gegenbauer polynomials; estimates coefficients; distribution ... See more keywords
A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials
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DOI: 10.3390/sym15030576
Abstract: In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials. We derive estimates for the Fekete–Szegö functional… read more here.
Keywords: gegenbauer polynomials; new comprehensive; univalent functions; comprehensive subclass ... See more keywords
Generalized Mixed Type Bernoulli-Gegenbauer Polynomials
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DOI: 10.46793/kgjmat2302.245q
Abstract: The generalized mixed type Bernoulli-Gegenbauer polynomials of order α >−1/2 are special polynomials obtained by use of the generating function method. These polynomials represent an interesting mixture between two classes of special functions, namely generalized… read more here.
Keywords: type bernoulli; mixed type; bernoulli gegenbauer; gegenbauer polynomials ... See more keywords