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In this paper our aim is to present some subordination and superordination results, by using an operator, which involves the normalized form of the generalized Bessel functions of first kind. These results are obtained by investigating some…

Complex Variables · Mathematics 2016-11-26 Arpad Baricz , Erhan Deniz , Murat Caglar , Halit Orhan

An integral formula is given representing the generalized principal Lyapunov estimate for random linear parabolic PDEs. As an application, an upper estimate of the exponent is obtained.

Dynamical Systems · Mathematics 2017-09-14 Janusz Mierczyński , Wenxian Shen

We give a reciprocity formula for a two-variable sum where the variables satisfy a linear congruence condition. We also prove that such sum is a measure of how well a rational is approximable from below and show that the reciprocity formula…

Number Theory · Mathematics 2017-01-25 Sandro Bettin

In this paper the running average of a subordinator with a tempered stable distribution is considered. We investigate a family of previously unexplored infinite-activity subordinators induced by the probability distribution of the running…

Probability · Mathematics 2020-09-08 Weixuan Xia

Subordinators are infinitely divisible distributions on the positive half-line. They are often used as mixing distributions in Poisson mixtures. We show that appropriately scaled Poisson mixtures can approximate the mixing subordinator and…

Probability · Mathematics 2024-09-17 Michael Grabchak , Sina Saba

Proof systems for the Relativized Propositional Calculus are defined and compared.

Computational Complexity · Computer Science 2012-03-12 Stephen Cook

In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.

Differential Geometry · Mathematics 2011-04-08 Kefeng Liu , Sheng Rao

Extending a classical estimate of Mertens for the sum of the reciprocals of the first primes, we provide an explicit remainder formula for products of an arbitrary, but fixed, number of primes.

Number Theory · Mathematics 2019-10-08 Gérald Tenenbaum

In the paper we consider models of generalized counting processes time-changed by a general inverse subordinator, we characterize their distributions and present governing equations for them. The equations are given in terms of the…

Probability · Mathematics 2023-12-11 Khrystyna Buchak , Lyudmyla Sakhno

This paper concerns the explicit treatment of substitutions in the lambda calculus. One of its contributions is the simplification and rationalization of the suspension calculus that embodies such a treatment. The earlier version of this…

Logic in Computer Science · Computer Science 2007-05-23 Andrew Gacek , Gopalan Nadathur

We prove a closed formula for the derivative, of any order, of a implicit function, in terms of some binomial building blocks, and explain the combinatorics behind the coefficients appearing in the formula.

Combinatorics · Mathematics 2020-08-13 Shaul Zemel

We solve two conjectures of Ceken-Palmieri-Wang-Zhang concerning discriminants and give some applications.

Rings and Algebras · Mathematics 2016-06-22 Kenneth Chan , Alexander Young , James Zhang

Various formulas for reciprocals of densely defined weighted composition operators in $L^2$-spaces as well as for their adjoints are provided. The relation between the reciprocal of a weighted composition operator and the product of the…

Functional Analysis · Mathematics 2024-11-27 Piotr Budzyński

We propose a system for the interpretation of anaphoric relationships between unbound pronouns and quantifiers. The main technical contribution of our proposal consists in combining generalized quantifiers with dependent types. Empirically,…

Logic · Mathematics 2016-08-02 Justyna Grudzinska , Marek Zawadowski

We study the factorization of the PT symmetric Hamiltonian. The general expression for the superpotential corresponding to the PT symmetric potential is obtained and explicit examples are presented.

Quantum Physics · Physics 2009-11-07 V. M. Tkachuk , T. V. Fityo

In a general algebraic setting, we state some properties of commutators of reflexive admissible relations.

General Mathematics · Mathematics 2007-05-23 Paolo Lipparini

We prove large and moderate deviation principles for the distribution of an empirical mean conditioned by the value of the sum of discrete i.i.d. random variables. Some applications for combinatoric problems are discussed.

Probability · Mathematics 2007-07-11 Fabrice Gamboa , Thierry Klein , Clémentine Prieur

We consider estimation procedures which are recursive in the sense that each successive estimator is obtained from the previous one by a simple adjustment. We propose a wide class of recursive estimation procedures for the general…

Statistics Theory · Mathematics 2007-05-23 Teo Sharia

A general method for calculating or constructing lower central factors of groups is presented. {\it Relative basic commutators} are defined.

Group Theory · Mathematics 2009-10-06 Ted Hurley

Gibbs random fields play an important role in statistics, however, the resulting likelihood is typically unavailable due to an intractable normalizing constant. Composite likelihoods offer a principled means to construct useful…

Statistics Theory · Mathematics 2026-02-09 Julien Stoehr , Nial Friel
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