The Donfagsiteli conditional function ([Cdk]f) is a set of classes and families of mathematical functions which have been recently defined. [Cdk]f is related to a predefined function f in a way similar to that of a bijective function and its inverse . It is a generalization of both elementary and special functions. The function has […]

In this chapter some criteria for the oscillation of high order functional difference equation of the form ∆2(r(n)[∆(m−2)y (n)]α)+ q (n)f [y (g (n))] = 0, where ∞ ∑s =n0 r− 1 α (s) < ∞ and m > 1 is discussed. Examples are given to illustrate the results. Author(s) Details S. Kaleeswari Department of […]

This chapter deals with the evaluation of some integrals involving error-, exponential- and algebraic functions with an objective to present explicit expressions for the second and third order correction terms in the approximation of the modified error function in the perturbation approach. Over and above an approximation of the desired modified error function has been […]

In this short note we give a nonstandard proof of the well-known result that any Lebesgue measurable function :ℝ→ℝ which satisfies the functional equation (+)=()+() is continuous. Author(s) Details   Grigore Ciurea Department of Mathematics, Academy of Economic Studies, Piata Romana 6, Bucharest 010374, Romania. View Book : – http://bp.bookpi.org/index.php/bpi/catalog/book/153

In this paper the author(s) present derivations for the mean and variance of the nth power transformation of the error component of the multiplicative time series model. As a general rule to any power transformation. Some of the published transformations like the square root and the inverse were used to validate the results obtained. The […]

In this paper, we derive the approximation formulae for phase shifts of s-wave Schrödinger equation on introducing binomial potential function and then make their applications to study the fluctuations in the phase shift difference from the s-wave with respect to different values of the arbitrary parameter occurring in a given binomial potential function. Author(s) Details […]

The aim of this article is to introduce a new definition for the Fourier transform. This new definition will be considered as one of the generalizations of the usual (classical) Fourier transform. We imploy the new Katugampola derivative  to obtain some properties of Katugampola Fourier transform, and find the relation between Katugampola Fourier transform and […]

This chapter presents some derivative formulas of I-function of two variables involving general class of polynomials. The special cases of our derivatives yield interesting results. Author(s) Details Dr. Y. Pragathi Kumar Department of Mathematics, College of Natural and Computational Sciences, Adigrat University, Adigrat, Ethiopia. B. Satyanarayana  Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar – […]

The paper analyses non-uniform transmission lines terminated by nonlinear loads situated as follows: GC-loads are connected parallel and L-load is connected in series to them (Fig. 1). First, we formulate boundary conditions for a lossless transmission line system on the basis of the Kirchhoff’s law. Then, we reduce the mixed problem for the system in […]

Cooperative (co-op) advertising is attracting more and more attention. This paper analyzes co-op advertising behavior based on a dual brands model with a single manufacturer and a single retailer and some interesting conclusions are achieved. Firstly, firm in the supply chain advertises both brands and the difference of advertising expenditure is not very large in […]