Results 41 to 50 of about 1,135,152 (306)
In this paper, a beta operator is used with Caputo Marichev-Saigo-Maeda (MSM) fractional differentiation of extended Mittag-Leffler function in terms of beta function.
Tayyaba Manzoor+3 more
doaj +3 more sources
The purpose of present paper is to introduce a new extension of Hurwitz-Lerch Zeta function by using the extended Beta function. Some recurrence relations, generating relations and integral representations are derived for that new extension.
Salem Saleh Barahmah
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Inequalities of extended beta and extended hypergeometric functions [PDF]
This paper studies the log-convexity of the extended beta functions. As a consequence, Tur n-type inequalities are established.The monotonicity, log-convexity, log-concavity of extended hypergeometric functions are deduced by using the inequalities on extended beta functions,.
Saiful R. Mondal
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Extended precision computation of the incomplete beta function
In computing the incomplete beta function, numerical instability is encountered as the parameters increase. To provide a given number of significant digits, a multiple precision (MP) package for the computation of the incomplete beta function has been developed. Since MP arithmetic is time consuming, finding an efficient algorithm is important.
Leigh Allen Ihnen
+6 more sources
Extended matrix variate gamma and beta functions
The gamma and beta functions have been generalized in several ways. The multivariate beta and multivariate gamma functions due to Ingham and Siegel have been defined as integrals having the integrand as a scalar function of the real symmetric matrix.
Daya K. Nagar+2 more
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FURTHER EXTENDED GAMMA AND BETA FUNCTIONS IN TERMS OF GENERALIZED WRIGHT FUNCTION
The main objective of this paper is to introduce a new extension of extended Gamma and Beta functions in terms of generalized Wright function. Various properties of these extended functions are investigated such as integral representations, summation ...
Maisoon Ahmed Hussein Kulib+2 more
doaj +1 more source
Some generalised extended incomplete beta functions and applications
This paper introduces generalised incomplete beta functions defined by the generalised beta function. Firstly, we provide some of the generalised beta function's basic properties, such as integral representations, summation formulas, Mellin transform, and beta distribution.
Oğuz Yağcı+3 more
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Two-loop beta function for complex scalar electroweak multiplets [PDF]
We present the general form of the renormalizable four-point interactions of a complex scalar field furnishing an irreducible representation of SU(2), and derive a set of algebraic identities that facilitates the calculation of higher-order radiative ...
J. Brod, Zachary Polonsky
semanticscholar +1 more source
Criterion of perturbativity with the mass-dependent beta function in extended Higgs models
In order to realize an electroweak first-order phase transition, a category of extended Higgs models with relatively large self-coupling constants is often considered. In such a scenario, the running coupling constants can blow up at an energy scale much below the Planck scale.
Shinya Kanemura, Yushi Mura
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Extended immune programming and opposite-based PSO for evolving flexible beta basis function neural tree [PDF]
Souhir Bouaziz+2 more
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