Probability density functions involving a generalized r–Gauss hypergeometric function
Le Matematiche, 2010 The aim of this paper is to study r–generalized gamma functions of a particular form.Moreover, we define a new probability density function (p.d.f) involving these new generalized functions.
Y. Ben Nakhi, S. L. Kalla
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Adiabatic Amplification of Energy and Magnetic Moment of a Charged Particle after the Magnetic Field Inversion. [PDF]
Entropy (Basel), 2023 Dodonov VV, Dodonov AV.
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Certain fractional integral inequalities involving the Gauss hypergeometric function
Revista Técnica de la Facultad de IngenieríaBy making use of the fractional integral operators involving the Gauss hypergeometric function, we establish certain new fractional integral inequalities for synchronous functions which are related to the Chebyshev functional. Some consequent results and
S.D Purohit, R.K Raina
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An application of hypergeometric functions to heat kernels on rectangular and hexagonal tori and a "Weltkonstante"-or-how Ramanujan split temperatures. [PDF]
Ramanujan J, 2021 Faulhuber M.
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On a class of generalized analytic functions
Le Matematiche, 2012 This paper deals with a new generalization of analytical functions.The p-wave functions are introduced and studied. We consider their theoretical aspect and applications. Some integral representations of x^k y^l -wave functions (k, l − const.
Shyam L. Kalla +2 more
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Computing sums in terms of beta, polygamma, and Gauss hypergeometric functions. [PDF]
Rev R Acad Cienc Exactas Fis Nat A Mat, 2020 Qi F, Huang CJ.
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Transformations of Gauss hypergeometric functions
Transformations of Gauss hypergeometric functionsThe paper classifies algebraic transformations of Gauss hypergeometric functions and pull-back transformations between hypergeometric differential equations. This classification recovers the classical transformations of degree 2, 3, 4, 6, and finds other transformations of some special classes of the Gauss hypergeometric function.
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Convexity properties related to Gauss hypergeometric function
We investigate the convexity property on $(0,1)$ of the functions $φ_{a,b,c}$ and $1/φ_{a,b,c}$, where $$φ_{a,b,c}(x)= \frac{c-\log(1-x)}{\,_2F_1(a,b,a+b,x)},$$ whenever $a,b\geq 0$ and $a+b\leq 1$. We Show that $φ_{a,b,c}$ (respectively $1/φ_{a,b,c}$) is strictly convex on $(0,1)$ if and only if $c\leq -2γ-ψ(a)-ψ(b),$ (respectively $c\geqα_0$) and $φ_{
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Study analytical function subordination properties by applying a novel linear operator. [PDF]
F1000ResMajel MS, Hameed MI.
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