Devendra Kumar APPROXIMATION OF GROWTH NUMBERS OF GENERALIZED BI - AXIALLY SYMMETRIC POTENTIALS

A double layer potentials for generalized bi-axially symmetric equation

were constructed in R 2 = {(x, y) : x > 0, y > 0} . In the present paper (in case of λ = 0) using the constructed fundamental solutions, a double layer potentials are defined and investigated. Limiting theorems are proved, and integral equations concerning a denseness of potentials of a double layer are found. MSC: Primary 35J15, 35J70.

On the Rational Approximation of Analytic Functions Having Generalized Types of Rate of Growth

The Dirichlet Problem for the Generalized Bi-axially Symmetric Helmholtz Equation

Abstract. In [18], fundamental solutions for the generalized bi-axially symmetric Helmholtz equation were constructed in R 2 = {(x, y) : x > 0, y > 0} . They contain Kummer’s confluent hypergeometric functions in three variables. In this paper, using one of the constructed fundamental solutions, the Dirichlet problem is solved in the domain Ω ⊂ R 2 . Using the method of Green’s functions, solut...

Dibaryons as Axially Symmetric Skyrmions

Dibaryons configurations are studied in the framework of the bound state soliton model. A generalized axially symmetric ansatz is used to determine the soliton background. We show that once the constraints imposed by the symmetries of the lowest energy torus configuration are satisfied all spurious states are removed from the dibaryon spectrum. In particular, we show that the lowest allowed sta...

Recurrence Relations for Quotient Moment of Generalized Pareto Distribution Based on Generalized Order Statistics and Characterization

Generalized Pareto distribution play an important role in reliability, extreme value theory, and other branches of applied probability and statistics. This family of distributions includes exponential distribution, Pareto distribution, and Power distribution. In this paper, we established exact expressions and recurrence relations satisfied by the quotient moments of generalized order statistic...