[PDF] Top 20 Una Mirada a la educación económica y financiera en Básica Primaria
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One-loop Feynman integrals with Carlson hypergeometric functions
... scalar one-loop two-, three-, four- point Feynman integrals with complex internal ...three-point functions and D = 4 for four- point ...the Carlson hypergeometric ... See full document
5
A Systematization for One Loop 4D Feynman Integrals Different Species of Massive Fields
... not) Feynman integrals, typical of the one loop perturbative solutions of Quantum Field Theory, is ...the Feynman rules and a convenient representation for involved propa- gators, the ... See full document
75
Hypergeometric Functions: Application in Distribution Theory
... The hypergeometric functions are classified in A b r a m o w i t z a n d s t e g u n ( 1 9 7 2 ) , Carlson (1976), G a s p e r a n d R e h m a n ( 1 9 9 0 ) ...For integrals involving such ... See full document
17
11. On the Hypergeometric Matrix $k$-Functions
... and these matrix arguments satisfy the matrix differential equation in terms of the new parameter k > 0 which is the improved version of generalization of classical hypergeometric matrix functions. ... See full document
6
A change of scale formula for Wiener integrals of cylinder functions on the abstract Wiener space II
... analytic Feynman integral of F exist and we show that the analytic Feynman integral of such cylinder functions can be expressed as the limit of Wiener ...Wiener integrals of such cylinder ... See full document
6
Birth of Theory of Harmonic Functions
... A complex-valued continuous function f=u+iv defined in a simply connected domain D is said to be harmonic in D if both u and v are real harmonic on D, that is u and v both satisfy the Laplace equations. In any simply ... See full document
77
12. An Application of Hypergeometric Functions on Harmonic Univalent Functions
... Abstract. The purpose of the present paper is to establish connections be- tween various subclasses of harmonic functions by applying certain convolu- tion operator involving hypergeometric ... See full document
9
A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions
... Generalized Hypergeometric Functions, Hadamard Prod- ucts, Linear Operators and Certain Subclasses of Analytic Functions,” Nagoya Mathematics Journal, ... See full document
5
Certain transformations for multiple hypergeometric functions
... Recently, Krattenthaler and Rao [] (see also []) made a systematic use of the so-called beta integral method, a method of deriving new hypergeometric identities from old ones by mainly using the beta integral ... See full document
32
Inequalities involving hypergeometric and related functions
... It is a crucial prerequisite to an efficient numerical solution routine of the four-parameter hyper-gamma density estimation problem for a given statistical data set (observations) [2, Chap. 9.3]. The hyper-gamma ... See full document
124
Inequalities with applications to some k analog random variables
... In , Grüss established an integral inequality which provides an estimation for the in- tegral of a product in terms of the product of integrals [, ]. Here, we use this inequality to prove some inequalities ... See full document
29
A New Extension of Beta and Hypergeometric Functions
... q)-confluent hypergeometric functions by using the extension of beta ...extended hypergeometric and confluent hypergeometric functions such as integral representations, Mellin ... See full document
9
Starlike and Convex Properties for Hypergeometric Functions
... Silverman 7 gave necessary and sufficient conditions for zFa, b; c; z to be in T ∗ α and Cα, and also examined a linear operator acting on hypergeometric functions. For the other interesting developments for ... See full document
97
Weighted hypergeometric functions and fractional derivative
... hypergeomeric functions like Poisson integrals considering some special weights to find boundary values, factorizations of this functions and ... See full document
256
“A STUDY OF EULERIAN INTEGRALS OF MULTIPLE HYPERGEOMETRIC FUNCTION WITH GENERAL ARGUMENT”
... function. These are very general in nature and extends a number of classical polynomials introduced and studied by various research work such as Gould and Hopper (1962), Krall and Frink (1949), Singh(1981), Singh and ... See full document
87
On quotients and differences of hypergeometric functions
... By (2.8), the zero-balanced hypergeometric function F(a, b; a + b; x) has a logarithmic singularity at x = 1. We shall now demonstrate that its behavior is nearly logarithmic also in the sense that some basic ... See full document
36
Generating Functions for Generalized Mock Theta Functions
... theta functions namely 7, , F , H , I of Andrews ...generalized functions 7, , F and K reduce to the third order mock theta functions of Ramanujan and I , H and M to the third order mock theta ... See full document
109
A change of scale formula for Wiener integrals of cylinder functions on abstract Wiener space
... In [13], Skoug and Yoo expressed the analytic Wiener and Feynman integrals as the limits of Wiener integrals, and then they established a change of scale formula for Wiener integrals on [r] ... See full document
8
Pilipp, Volker (2007): Hard spectator interactions in B to pi pi at order alphas2. Dissertation, LMU München: Fakultät für Physik
... The functions GetBasis, RepMom and ruleI are well commented such that we do not explain ...These functions are defined such that they remember the value they have already ...those functions and which ... See full document
5
2loop selfenergy
... split one integral into two, apparently more complicated ones? The point is that the former integral here, with one massless propagator, can actually be evaluated analytically, while the latter is finite at ... See full document
120
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