Integral formulas associated with products of Bessel functions: a new partial differential equation approach

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Properties of multivalent functions associated with certain integral operator

Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.

متن کامل

Laplace Transform of Products of Bessel Functions: a Visitation of Earlier Formulas

This note deals with the Laplace transforms of integrands of the form xJα (ax) Jβ (bx), which are found in numerous fields of application. Specifically, we provide herein both a correction and a supplement to the list of integrals given in 1997 by Hanson and Puja, who in turn extended the formulas of Eason, Noble and Sneddon of 1956. The paper concludes with an extensive tabulation for particul...

متن کامل

Certain Fractional Integral Formulas Involving the Product of Generalized Bessel Functions

We apply generalized operators of fractional integration involving Appell's function F 3(·) due to Marichev-Saigo-Maeda, to the product of the generalized Bessel function of the first kind due to Baricz. The results are expressed in terms of the multivariable generalized Lauricella functions. Corresponding assertions in terms of Saigo, Erdélyi-Kober, Riemann-Liouville, and Weyl type of fraction...

متن کامل

Bessel Functions and Vibrating Circular Membrane Method of Separation of Variables. For a linear partial differential equation

Method of Separation of Variables. For a linear partial differential equation Lu = 0, we can use the method of separation of variables when the linear partial differential operator L can be written as the sum of two linear partial differential operators P and Q so that P depends only on variables x1, · · · , xk and Q depends only on the complementary set of variables xk+1, · · · , xn. Another c...

متن کامل

A Compact Scheme for a Partial Integro-Differential Equation with Weakly Singular Kernel

Compact finite difference scheme is applied for a partial integro-differential equation with a weakly singular kernel. The product trapezoidal method is applied for discretization of the integral term. The order of accuracy in space and time is , where . Stability and convergence in  norm are discussed through energy method. Numerical examples are provided to confirm the theoretical prediction ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal of Computational and Applied Mathematics

سال: 1994

ISSN: 0377-0427

DOI: 10.1016/0377-0427(92)00011-w