‎In this article‎, ‎we discuss about solvability of infinite systems of singular integral equations with two variables in the Banach sequence space $C(I times I‎, ‎c)$ by applying measure of noncompactness‎ and Meir-Keeler condensing operators‎. By presenting an example, we have illustrated our results‎. ‎For validity of the results we introduce a modified semi-analytic method in the case of tw...

We obtain several interesting subordination results for a class of analytic functions defined by using a generalized integral operator. Keywords—Analytic functions, Hadamard product, Subordinating factor sequence

Let χ denotes the space of all double gai sequences. Let Λ denotes the space of all double analytic sequences. This paper is devoted to a study of the general properties of Nörlund double Orlicz space of gai sequence space η ( χM ) and χM . and Nörlund double Orlicz space of analytic sequence space η ( ΛM ) and ΛM .

We prove solution uniqueness for the genus one Canham variational problem arising in shape prediction of biomembranes. The proof builds on a result Yu and Chen that reduces to proving positivity sequence defined by linear recurrence relation with polynomial coefficients. combine rigorous numeric analytic continuation D-finite functions classic bounds from singularity analysis derive an effectiv...

A sequence of special functions in Hardy space H(T) are constructed from Cauchy kernel on unit disk D. Applying projection operator of the sequence of functions leads to an analytic sampling approximation to f , any given function in H(T). That is, f can be approximated by its analytic samples in D. Under a mild condition, f is approximated exponentially by its analytic samples. By the analytic...

An extension of the Laplace transform obtained by using Laguerre-type exponentials is first shown. Furthermore, solution Blissard problem means Bell polynomials gives possibility to associate any numerical sequence a Laplace-type depending on that sequence. Computational techniques for corresponding analytic functions, involving polynomials, are derived.