Large displacements of slender beams in plane: Analytical solution by means of a new hypergeometric function
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2019.09.006
Abstract: Abstract The goal of this paper is to present an analytical solution for large planar displacements of cantilever beams, avoiding the integration of elliptic integrals. The proposed solution takes advantage of a new hypergeometric function… read more here.
Keywords: new hypergeometric; hypergeometric function; solution; analytical solution ... See more keywords
Parameter derivatives of the generalized hypergeometric function
Sign Up to like & getrecommendations! Published in 2017 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2017.1362635
Abstract: ABSTRACT In this paper, the parameter derivatives to any order of the generalized hypergeometric function as well as for its various special cases are obtained. read more here.
Keywords: hypergeometric function; generalized hypergeometric; parameter derivatives; derivatives generalized ... See more keywords
Some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-018-1717-8
Abstract: In the paper, the authors present some inequalities involving the extended gamma function and the Kummer confluent hypergeometric k-function via some classical inequalities such as Chebychev’s inequality for synchronous (or asynchronous, respectively) mappings, give a… read more here.
Keywords: confluent hypergeometric; kummer confluent; hypergeometric function; gamma function ... See more keywords
Some finite integrals involving Mittag-Leffler confluent hypergeometric function
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DOI: 10.1515/anly-2022-1113
Abstract: Abstract In this work, we propose some unified integral formulas for the Mittag-Leffler confluent hypergeometric function (MLCHF), and our findings are assessed in terms of generalized special functions. Additionally, certain unique cases of confluent hypergeometric… read more here.
Keywords: leffler confluent; confluent hypergeometric; mittag leffler; hypergeometric function ... See more keywords
Integral Equations of Curvilinear Convolution Type with Hypergeometric Function in a Kernel
Sign Up to like & getrecommendations! Published in 2019 at "Russian Mathematics"
DOI: 10.3103/s1066369x19090056
Abstract: We study the class of integral equations of first kind over the circumference in the complex plane. The kernels of the equations contain a Gaussian hypergeometric function and depend on the arguments ratio. This class… read more here.
Keywords: hypergeometric function; convolution; curvilinear convolution; integral equations ... See more keywords
Approximation for the Ratios of the Confluent Hypergeometric Function ΦD(N) by the Branched Continued Fractions
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11090426
Abstract: The paper deals with the problem of expansion of the ratios of the confluent hypergeometric function of N variables ΦD(N)(a,b¯;c;z¯) into the branched continued fractions (BCF) of the general form with N branches of branching… read more here.
Keywords: ratios confluent; function; continued fractions; confluent hypergeometric ... See more keywords
New Conditions for Univalence of Confluent Hypergeometric Function
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DOI: 10.3390/sym13010082
Abstract: Since in many particular cases checking directly the conditions from the definitions of starlikeness or convexity of a function can be difficult, in this paper we use the theory of differential subordination and in particular… read more here.
Keywords: univalence confluent; hypergeometric function; new conditions; conditions univalence ... See more keywords
Univalence Conditions for Gaussian Hypergeometric Function Involving Differential Inequalities
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DOI: 10.3390/sym13050904
Abstract: In their paper published in 1990, Miller and Mocanu have investigated the special function Gaussian hypergeometric function in view of its relation to the theory of analytic functions, stating conditions for this function to be… read more here.
Keywords: conditions gaussian; function involving; hypergeometric function; univalence conditions ... See more keywords
Applications of Riemann-Liouville Fractional Integral of q-Hypergeometric Function for Obtaining Fuzzy Differential Sandwich Results
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DOI: 10.3390/sym14102097
Abstract: Studies regarding the two dual notions are conducted in this paper using Riemann–Liouville fractional integral of q-hypergeometric function for obtaining certain fuzzy differential subordinations and superordinations. Fuzzy best dominants and fuzzy best subordinants are given… read more here.
Keywords: fractional integral; fuzzy differential; liouville fractional; hypergeometric function ... See more keywords