AbstractIn this paper, we give an alternative proof of four of Ramanujan’s modular equations of degree 35, which have been proved by B.C. Berndt using the theory of modular forms. Our proofs involve only the identities stated by Ramanujan
In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if...
Let L(Φ)[0,+1) be the Orlicz function space generated by N−function Φ(u) with Luxemb...
Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that ar...
Abstract: In this paper, We study the several modular equations of Ramanujan Quantities R(1, 2, 4; q...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's mixed modula...
AbstractIn this paper we prove a Tauberian theorem for (A)(C,α) summability method, which extends th...
AbstractHere we establish left Caputo fractional ‖⋅‖∞-Landau type inequalities. We give applications...
AbstractIn the paper, we generalize some congruences of Lehmer and prove that for any positive integ...
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
AbstractThe sums ∑(l,m)∈N2,l+6m=nσ(l)σ(m) and ∑(l,m)∈N2,2l+3m=nσ(l)σ(m) are evaluated for all n∈N, a...
AbstractIn this paper, by using the Euler–Maclaurin expansion for the zeta function and estimating t...
AbstractWe show a limit formula for Eisenstein series by using the theory of a multiple cotangent fu...
The theory of q-analysis has many applications in various sub-fields of mathematics and quantum phys...
In this study, we investigated special Smarandache curves belonging to Sabban frame drawn on the sur...
AbstractIn this paper, we prove an important inequality and investigate some new calculating problem...
In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if...
Let L(Φ)[0,+1) be the Orlicz function space generated by N−function Φ(u) with Luxemb...
Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that ar...
Abstract: In this paper, We study the several modular equations of Ramanujan Quantities R(1, 2, 4; q...
In this paper, we establish several new modular equations of degree 9 using Ramanujan's mixed modula...
AbstractIn this paper we prove a Tauberian theorem for (A)(C,α) summability method, which extends th...
AbstractHere we establish left Caputo fractional ‖⋅‖∞-Landau type inequalities. We give applications...
AbstractIn the paper, we generalize some congruences of Lehmer and prove that for any positive integ...
Let µ be the Jacobi measure supported on the interval [1; 1]. Let introduce the Sobolev-type inner ...
AbstractThe sums ∑(l,m)∈N2,l+6m=nσ(l)σ(m) and ∑(l,m)∈N2,2l+3m=nσ(l)σ(m) are evaluated for all n∈N, a...
AbstractIn this paper, by using the Euler–Maclaurin expansion for the zeta function and estimating t...
AbstractWe show a limit formula for Eisenstein series by using the theory of a multiple cotangent fu...
The theory of q-analysis has many applications in various sub-fields of mathematics and quantum phys...
In this study, we investigated special Smarandache curves belonging to Sabban frame drawn on the sur...
AbstractIn this paper, we prove an important inequality and investigate some new calculating problem...
In this paper sufficient conditions for a matrix M = (mnk ) (mnk are Cesàro numbers As n‐k, s ∈ C if...
Let L(Φ)[0,+1) be the Orlicz function space generated by N−function Φ(u) with Luxemb...
Let \(T_n^+\) be the set of nonnegative trigonometric polynomials \(\tau_n\) of degree \(n\) that ar...