Definite integrals of Bessel functions and powers
Sawi Transform of Bessel s Functions with Application for Evaluating Definite Integrals
... Bessel’s functions have many applications to solve the problems of mathematical physics, nuclear physics, acoustics, radio physics, atomic physics, engineering and sciences such as flux distribution in a nuclear ...
7
Certain unified integrals associated with Bessel functions
... Next, we consider other variations of Theorem and Theorem . In fact, we establish some integral formulas for the Bessel function J ν (z) expressed in terms of the generalized hypergeometric function p F q . To ...
9
Unified integrals associated with generalized Bessel functions and Struve functions
... Integral formulas involving generalized Bessel and Struve functions of the first kind are expressed in term of generalized Wright function and generalized hypergeometric series.. Many sp[r] ...
11
Numerical Methods of Approximating Definite Integrals
... of functions we can antidifferentiate. Tables of integrals and high-powered computer packages can provide assistance if we’re in dire ...innocent-looking functions that cannot be dealt with ...
22
Integrals of Rational Functions
... 3x + 11 = (x + 1)A + (x − 3)B. (∗∗) Step 4: Solve for the coefficients A, B, C, . . . . There are two approaches here. The systematic approach is to gather together like powers of the variable and equate their ...
13
Estimation of certain integrals with extended multi-index Bessel function
... multiindex Bessel functions, which play a ubiquitous role in wide range of diverse fields such as acoustic field, electromagnetism, heat, hydrodynamics, wave motion, elasticity and optical ...multi-index ...
7
The Application of Bessel Function in the Definite Solution Problem of Cylindrical Coordinate System
... the definite solution problems, especially the definite solution problems of cylinder and sphere ...Bessel functions. In this paper, we propose a method combining Bessel function to ...
7
Univalence of integral operators involving Bessel functions
... the functions f 1 , f 2 , ...the integrals in (1) and (2) ...normalized Bessel function of the first ...normalized Bessel functions of the first kind the univalence of some integral ...
6
A Study on the Integrals of Rational Functions with Maple
... its definite integral. On the other hand, we propose two rational functions to find their definite integrals, and the answers of these definite integrals are presented in ...
5
Calculating Some Integrals of Trigonometric Functions
... by Theorem 1, we obtain the desired results. q.e.d. 3. Examples For the integral problems discussed in this article, three examples are proposed and we use Theorems 1, 2 and 3 to determine their infinite series forms. On ...
7
Chapter 7 Applications of Definite Integrals
... Since the velocity is positive, the integral of the velocity is equal to the integral of its absolute value, which is the total distance traveled.. 33..[r] ...
38
1.1 Bessel functions
... Modified Bessel functions Suppose we change the potential problem so that the top and bottom of the cylinder are grounded but the outer wall at ρ = a has potential V (φ, z) ...
16
Solving Some Definite Integrals by Using Maple
... definite integrals. We can obtain the closed forms of these two types of definite integrals by using differentiation with respect to a parameter and Leibniz differential ...some ...
5
A Study of Definite Integrals Using Parseval's Identity
... Department of Information Technology, Nan Jeon University of Science and Technology, Taiwan ABSTRACT This paper studies two types of definite integrals. Using Parseval’s identity, we can determine the ...
5
Some New Inequalities of Qi Type for Definite Integrals
... methods [15], Cauchy’s mean value theorem [3, 13], and q-integral [2, 9, 20], have been created. Recently, this type of inequalities were generalized in [18] to double integrals. Importantly, the mathematical ...
7
UNBOUNDED POSITIVE DEFINITE FUNCTIONS
... positive definite for F, where F is a set of functions on R, if the integral in (2) exists and is non-negative for every (p G ...positive definite for C c is the Fourier-Stieltjes transform of a ...
10
Bessel Functions of the First and Second Kind
... Background Bessel functions are named for Friedrich Wilhelm Bessel (1784 - 1846), however, Daniel Bernoulli is generally credited with being the first to introduce the concept of Bessels func- tions ...
40
Extension of Oppenheim's Problem to Bessel Functions
... ´Arp´ad Baricz and Ling Zhu Received 10 September 2007; Accepted 22 October 2007 Recommended by Andrea Laforgia Our aim is to extend some trigonometric inequalities to Bessel functions. Moreover, we deduce ...
7
Some Inequalities for Modified Bessel Functions
... We denote by I ν and K ν the Bessel functions of the first and third kind, respectively. Motivated by the relevance of the function w ν t tI ν − 1 t/I ν t, t > 0, in many contexts of applied mathematics ...
10
Wirtinger inequality using Bessel functions
... Wirtinger inequality using Bessel functions Mirkovic? Advances in Difference Equations (2018) 2018 206 https //doi org/10 1186/s13662 018 1634 7 R E S E A R C H Open Access Wirtinger inequality using[.] ...
5