Results 1 to 10 of about 3,998,729 (303)

On the sum of partition norms and its connection to norms of partitions with parts greater than one [PDF]

Notes on Number Theory and Discrete Mathematics
We study the —the product of the parts of a partition—with emphasis on partitions whose parts all exceed 1. We obtain two bivariate recurrences for the sum of norms over partitions into distinct parts, including a refinement that separates the ...
Meenakshi Rana, Harman Kaur, Abhimanyu Kumar   +2 more
doaj   +1 more source

n-Color partitions with weighted differences equal to minus two

International Journal of Mathematics and Mathematical Sciences, 1997
In this paper we study those n-color partitions of Agarwal and Andrews, 1987, in which each pair of parts has weighted difference equal to −2 Results obtained in this paper for these partitions include several combinatorial identities, recurrence ...
A. K. Agarwal, R. Balasubrananian
doaj   +1 more source

On the convexity theory of generating functions

Advanced Nonlinear Studies
In this paper, we extend our convexity theory for C 2 cost functions in optimal transportation to more general generating functions, which were originally introduced by the second author to extend the framework of optimal transportation to embrace near ...
Loeper Grégoire, Trudinger Neil S.
doaj   +1 more source

A characterization of the Rogers q-hermite polynomials

International Journal of Mathematics and Mathematical Sciences, 1995
In this paper we characterize the Rogers q-Hermite polynomials as the only orthogonal polynomial set which is also 𝒟q-Appell where 𝒟q is the Askey-Wilson finite difference operator.
Waleed A. Al-Salam
doaj   +1 more source

The Kostant partition functions for twisted Kac-Moody algebras

International Journal of Mathematics and Mathematical Sciences, 2000
Employing the method of generating functions and making use of some infinite product identities like Euler, Jacobi's triple product and pentagon identities we derive recursion relations for Kostant's partition functions for the twisted Kac-Moody ...
Ranabir Chakrabarti, Thalanayar S. Santhanam   +1 more
doaj   +1 more source

Higher-genus Fay-like identities from meromorphic generating functions

SciPost Physics
A possible way of constructing polylogarithms on Riemann surfaces of higher genera facilitates integration kernels, which can be derived from generating functions incorporating the geometry of the surface.
Konstantin Baune, Johannes Broedel, Egor Im, Artyom Lisitsyn, Yannis Moeckli
doaj   +1 more source

Water capacity of random functions [PDF]

Contributions to Mathematics
Aubrey Blecher, Arnold Knopfmacher
doaj   +1 more source

Enumeration and Wilf-classification of permutations avoiding five patterns of length 4 [PDF]

Contributions to Mathematics, 2020
Toufik Mansour
doaj   +1 more source

Generalized Gudermannian function

Issues of Analysis, 2018
Summary: Wilker and Huygens-type inequalities involving generalized Gudermannian function and its inverse function are established. These results are obtained with the aid of the \(p\)-version of the Schwab-Borchardt mean. Generalized one-parameter trigonometric and hyperbolic functions play a crucial role in this paper.
openaire   +2 more sources

Factorized Duality, Stationary Product Measures and Generating Functions. [PDF]

J Stat Phys, 2018
Redig F, Sau F.
europepmc   +1 more source