Dual protection of amino functions involving Boc

Some Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions

A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...

Series involving Arithmetric Functions

We intend here to collect infinite series, each involving unusual combinations or variations of well-known arithmetic functions. For simplicity’s sake, results are often quoted not with full generality but only to illustrate a special case. Let σ(n) denote the sum of all distinct divisors of n, κ(n) denote the quotient of n with its greatest square divisor, and φ(n) denote the number of positiv...

A Study on the Effective Cultural Factors Involving in Protection of the Environment in Tehran

In the world of today, the issue of environmental protection is one of the main concerns. This research is created with the purpose of scientifically identification of cultural effects on environmental protection and behaviors. The views analysis is based on Durkheim, Weber, Parsons, Giddens, Tomeh approaches and theories. The research and questionnaire are used for 400 citizens of Tehran sele...

Inequalities Involving Hyperbolic Functions and Trigonometric Functions

Inequalities involving hyperbolic functions and trigonometric functions are established. Most of the established inequalities can be regarded as the companion inequalities to those obtained by Lazarević, Adamović and Mitrinović and Cusa and Huygens The established results are obtained with the aid of the Schwab-Borchardt mean.

Dual multiwavelet frames with symmetry from two-direction renable functions