Results 11 to 20 of about 4,166,966 (302)
COMPLEXITY OF SHORT GENERATING FUNCTIONS
We give complexity analysis for the class of short generating functions. Assuming #P $\not \subseteq$ FP/poly, we show that ...
DANNY NGUYEN, IGOR PAK
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Generating Functions for Bessel Functions [PDF]
On replacing the parameter n in Bessel's differential equation1.1by the operator y(∂/∂y), the partial differential equation Lu = 0 is constructed, where1.2This operator annuls u(x, y) = v(x)yn if, and only if, v(x) satisfies (1.1) and hence is a ...
Louis Weisner
core +3 more sources
Certain Class of Generating Functions for the Incomplete Hypergeometric Functions [PDF]
Generating functions play an important role in the investigation of various useful properties of the sequences which they generate. In this paper, we aim to establish certain generating functions for the incomplete hypergeometric functions introduced by ...
Junesang Choi, Praveen Agarwal
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Some Generating Functions for <i>q</i>-Polynomials. [PDF]
Demonstrating the striking symmetry between calculus and q-calculus, we obtain q-analogues of the Bateman, Pasternack, Sylvester, and Cesàro polynomials. Using these, we also obtain q-analogues for some of their generating functions.
Cohl HS, Costas-Santos RS, Wakhare TV.
europepmc +2 more sources
Generating generic functions [PDF]
We present an approach to the generation of generic functions from user-provided specifications. The specifications consist of the type of a generic function, examples of instances that it should "match" when specialized, and properties that the generic function should satisfy.
Jeuring, J.T. +2 more
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Cumulative information generating function and generalized Gini functions
AbstractWe introduce and study the cumulative information generating function, which provides a unifying mathematical tool suitable to deal with classical and fractional entropies based on the cumulative distribution function and on the survival function.
Marco Capaldo +2 more
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On a generalization of the Rogers generating function [PDF]
arXiv admin note: text overlap with arXiv:1411 ...
Howard S. Cohl +2 more
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ON STOCHASTIC GENERALIZED FUNCTIONS [PDF]
In this work we introduce a new algebra of stochastic generalized functions. The regular Hida distributions in [Formula: see text] are embedded in this algebra via their chaos expansions. As an application, we prove the existence and uniqueness of the solution of a stochastic Cauchy problem involving singularities.
Catuogno, Pedro, Olivera, Christian
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Distribution Function, Probability Generating Function and Archimedean Generator [PDF]
Archimedean copulas form a very wide subclass of symmetric copulas. Most of the popular copulas are members of the Archimedean copulas. These copulas are obtained using real functions known as Archimedean generators. In this paper, we observe that under certain conditions the cumulative distribution functions on (0, 1) and probability generating ...
Weaam Alhadlaq, Abdulhamid Alzaid
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Generalized Alomari Functionals [PDF]
We consider a generalized form of certain integral inequalities given by Guessab, Schmeisser and Alomari. The trapezoidal, mid point, Simpson, Newton-Simpson rules are obtained as special cases. Also, inequalities for the generalized Alomari functional in terms of the $n$-th order modulus, $n=\overline{1,4}$, are given and applied to some known ...
Acu, Ana-Maria, Gonska, Heiner
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