[PDF] Top 20 Hypergeometric functions and binomials

... solutions and not at the level of D-modules, it preserves many of the per- tinent features, including the dimensions of the spaces of local holomorphic solu- tions and the structure of their series ...rank ... See full document

... σ(s) and τ (s) polynomials of degree not greater than 2 and 1, respectively, λ is a constant, and ∆f(s) = f (s + 1) − f (s) and ∇ f (s) = ∆f (s − 1) are the forward and backward ... See full document

... Confluent hypergeometric functions are solutions of the confluent hypergeometric equa- tion, a modification of the Gaussian hypergeometric equation by what is called as the confluence of two ... See full document

... Our aim here is to express in terms of higher order hypergeometric Lauricella functions the corresponding asymptotic contracted measure of zeros for the sequence {P n (x)}™ =1 to be de[r] ... See full document

... new and modified Riemann-Liouville fractional operator that resulted from modifying the extended fractional derivative due to ...familiar functions regarding this new operator, the transform Laplace ... See full document

... i.e., the same function y ν of the expression (2.2) but the contour C is closed and ν is a non-negative integer. Note that, in this case, the condition (2.3) is automatically fulfilled, so the theorem 2.1 holds ... See full document

... classical and quantum physics (for a recent review see ...14] and Meixner oscillators [5] that are related to the polynomials of Charlier, Kravchuk and Meixner, respectively, and the finite ... See full document

... hyperradial and one angular variables ...Quasi-Sturmian functions to describe the hyperradial part of the scattering solution, while the angular part was dealt with Jacobi ...variable functions ... See full document

... This function computes the plug‐in and bootstrap bandwidths for the density estimator (1). Regarding the plug‐in bandwidth, with the parameter plugin.type, the iterative process to estimate the band‐ width can be ... See full document

... haloes, and in general, high density regions or small ...2008) and nDGP models (Dvali, Gabadadze & Porrati, ...screening and the latter the Vainshtein screening mechanism (Khoury & Weltman, ... See full document

... When a MCS is employed in a classifier fusion scenario, one has to implement some procedure for combining the individual decisions of the base classifiers. Although the plain majority voting rule constitutes a very ... See full document

... Bloch functions will be denoted by B and N will stand for the class of all normal analytic functions in ...Bloch functions and normal ... See full document

... test functions (DPG method) is an approximation scheme that makes the use of optimal test functions, ...test functions are those which maximize discrete inf-sup numbers, and the broken form of ... See full document

... ∞ and α > − 1, and let µ be a positive Borel measure on D ...if and only if there exists a positive constant C such that µ (S (I)) ≤ C | I | α +2 , for every interval I ⊂ T ... See full document

... analytic functions C those functions in C which lie in the Morrey spaces, and paying attention to the differences and similarities with Hardy spaces and BM ... See full document

... which satisfies J α K p A q “ f p enc p A qq for each structure A. This concludes the proof. This last result perfectly illustrates the benefits of our logical framework for the de- velopment of descriptive complexity ... See full document

... In view of this result for analytic functions, it is natural to ask whether every univalent harmonic mapping f has finite Schwarzian norm. We have not been able to settle this question, but we can show, with no ... See full document

... The study of some particular cases of orthogonal polynomials in Sobolev spaces has attracted the interest of several authors [1], [9], [15], [20], [21] and [25]. Particular emphasis was given to the so-called ... See full document

... earnings and those who are ...activity and skills) and the maximum educational level attained by the ...14 and 74 years old with positive monthly working hours smaller than 85 and who ... See full document

... cycle and finally a group of sequences had their closest known relatives among those found in corals affected by black band ...genes and capacities associated to the closest matching relatives will be ... See full document