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Abstract: We present a general theory for studying the difference analogues of special functions of hypergeometric type on the linear-type lattices, i.e., the solutions of the second order linear diff...
Previously, in the course of a construction of a quantum field theory model for Archimedean algebraic geometry a class of infinite-dimensional representations of special functions such as Whittaker fu...
In this paper, we give new Turán-type inequalities for some q-special functions, using a q- analogue of a generalization of the Schwarz inequality.
In this paper we introduce the general form of generating functions. By using the generating function we obtain the terms of different polynomials. Also we calculate the n-th term an of the polynomi...
In this paper we introduce the general form of generating functions. By using the generating function we obtain the terms of different polynomials. Also we calculate the n-th term an of the polynomi...
In this short note our aim is to establish some Grünbaum-type inequalities for the complementary error function, the incomplete gamma function and for Mills' ratio of the standard normal distribution,...
In this paper, we give new inequalities involving some special (resp. q -special) functions, using their integral (resp. q-integral) representations and a technique developed by A. McD. Mercer in [11]...
We use a generalization of the Schwarz inequality to give a short proof of new Turán-type inequalities for polygamma and Riemann zeta functions.
In the present paper, we introduce a new sequence of linear positive operators with the help of generating functions. We obtain some Korovkin type approximation properties for these operators and comp...

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