Results 31 to 40 of about 2,037,600 (285)

Lattice Point Generating Functions and Symmetric Cones [PDF]

, 2012
We show that a recent identity of Beck-Gessel-Lee-Savage on the generating function of symmetrically contrained compositions of integers generalizes naturally to a family of convex polyhedral cones that are invariant under the action of a finite ...
A. Barvinok, A. Bjorner, Benjamin Braun, C.-O. Chow, Carla D. Savage, E. Steingrímsson, F. Brenti, G.E. Andrews, J.E. Humphreys, M. Beck, M. Beck, M. Bousquet-Mélou, Matthias Beck, N. Bourbaki, R.P. Stanley, R.P. Stanley, Thomas Bliem   +16 more
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Generalized Trigonometric Functions [PDF]

Mathematics of Computation, 1964
is also that of all functions of the form (1 + x2)-2N-c+lQ(x) where Q is a polynomial of degree 4N 2 or lower, the conditions determining the above formula for any a and N are the same as those determining Harper's formula for (using "k" and "n" in the meaning given them in [1]) k = a + 2N -2, n = 2N.
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Generating function for generalized function of two variables [PDF]

Proceedings of the American Mathematical Society, 1974
In this paper we obtain a generating function for a generalized function of two variables. The result is very general in character and includes as particular cases some of the results recently given by Meijer [4], Carlitz [7] and Srivastava [5].
Sharma, B. L., Abiodun, R. F. A.
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Concrete Generic Functionals [PDF]

, 2003
Generic design is not only pertinent to programs, but a fortiori to declarative formalisms as well, and the ensuing generalizations often benefit programming. In the considered framework, generality is obtained by (re)defining traditionally non-functional objects uniformly as functions.
openaire   +1 more source

A new family of q-Bernstein polynomials: probabilistic viewpoint

Arab Journal of Basic and Applied Sciences
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc, Mehmet Acikgoz, Serkan Araci   +2 more
doaj   +1 more source

Generating functions for giant graviton bound states

Journal of High Energy Physics, 2023
We construct generating functions for operators dual to systems of giant gravitons with open strings attached. These operators have a bare dimension of order N so that the usual methods used to solve the planar limit are not applicable.
Warren Carlson, Robert de Mello Koch, Minkyoo Kim   +2 more
doaj   +1 more source

A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators

Advances in Difference Equations, 2018
In this paper, we present further generalizations of the beta function; Riemann–Liouville, Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function with six parameters.
Ayşegül Çetinkaya, İ. Onur Kıymaz, Praveen Agarwal, Ravi Agarwal   +3 more
doaj   +1 more source

Generating Functions for Coherent Intertwiners

, 2012
We study generating functions for the scalar products of SU(2) coherent intertwiners, which can be interpreted as coherent spin network evaluations on a 2-vertex graph. We show that these generating functions are exactly summable for different choices of
Aquilanti V, Aquilanti V, Barrett J W Dowdall R J Fairbairn W J Gomes H Hellmann F Pereira R, Bonzom V, Bonzom V, Bonzom V, Borja E F, Borja E F, Costantino F Marché J, Dowdall R J, Dupuis M, Dupuis M, Dupuis M, Dupuis M Livine E R, Etera R Livine, Freidel L, Freidel L Hnybida J, Garoufalidis S van der Veen R, Girelli F, Labarthe J J, Livine E R, Livine E R Martín-Benito M, Schnetz O, Schwinger J, Valentin Bonzom, Varshalovich D A, Yu L, Yu L   +27 more
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Statistics in Weak Ascent Sequences

Mathematics
Weak ascent sequences are a generalization of ascent sequences that appear in many combinatorial problems. In this paper, we give a method to find generating functions that count how often a given statistic τ appears in weak ascent sequences of length n,
Toufik Mansour
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Symmetric and generating functions of generalized (p,q)-numbers

Kuwait Journal of Science, 2021
In this paper, we first define new generalization for (p,q)-numbers. Considering these sequence, we give Binet's formulas and generating functions of (p,q)-Fibonacci numbers, (p,q)-Lucas numbers, (p,q)-Pell numbers, (p,q)-Pell Lucas numbers, (p,q ...
Nabiha Saba, Ali Boussayoud, Abdelhamid Abderrezzak   +2 more
doaj   +1 more source