On the non-holonomic character of logarithms, powers, and the th prime function.
On the non-quadraticity of values of the q-exponential function and related q-series
On the optimality of a characterization theorem for the gamma function using the multiplication formula.
On The Orthogonality Measure Of The ...-Pollaczek Polynomials.
On the -adic continuation of the logarithmic derivative of certain hypergeometric functions
On the Poisson difference distribution inference and applications.
On the polynomials orthogonal in the interval with the weight function
On the positivity of certain Cotes numbers.
On the product of triangular random variables
We derive the probability density function (pdf) for the product of three independent triangular random variables. It involves consideration of various cases and subcases. We obtain the pdf for one subcase and present the remaining cases in tabular form. We also indicate how to calculate the pdf for the product of n triangular random variables.
On the -analogue of gamma functions and related inequalities.
On the q-exponential of matrix q-Lie algebras
In this paper, we define several new concepts in the borderline between linear algebra, Lie groups and q-calculus.We first introduce the ring epimorphism r, the set of all inversions of the basis q, and then the important q-determinant and corresponding q-scalar products from an earlier paper. Then we discuss matrix q-Lie algebras with a modified q-addition, and compute the matrix q-exponential to form the corresponding n × n matrix, a so-called q-Lie group, or manifold, usually with q-determinant...
On the q-Konhauser biorthogonal polynomials.
On the Ramanujan AGM fraction. II: The complex-parameter case.
On the ratio of gamma and Rayleigh random variables
The gamma and Rayleigh distributions are two of the most applied distributions in engineering. Motivated by engineering issues, the exact distribution of the quotient X/Y is derived when X and Y are independent gamma and Rayleigh random variables. Tabulations of the associated percentage points and a computer program for generating them are also given.
On the ratio of Pearson type VII and Bessel random variables.
On the Reduction of Abelian Integrals.
On the representation of Lauricella functions by Eulerian integrals.
On the Riemann-Liouville Fractional q-Integral Operator Involving a Basic Analogue of Fox H-Function
2000 Mathematics Subject Classification: 33D60, 26A33, 33C60The present paper envisages the applications of Riemann-Liouville fractional q-integral operator to a basic analogue of Fox H-function. Results involving the basic hypergeometric functions like Gq(.), Jv(x; q), Yv(x; q),Kv(x; q), Hv(x; q) and various other q-elementary functions associated with the Riemann-Liouville fractional q-integral operator have been deduced as special cases of the main result.
On the Sensitivity of Orthogonal Polynomials to Perturbations in the Moments.
On the sine integral and the convolution.