The binary quadratic equation 22 3 8 3 2 2 6 0 x xy y x y is studied for its non-trivial integral solutions. The recurrence relations satisfied by the solutions x and y are given. A few interesting properties among the solutions are presented
AbstractFor fixed n and a fixed partition α of k<n we give an explicit formula for the number N(n;α)...
In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the two identi...
The note generalizes a well-known formula for pi/2 named after the English mathematician John Wallis...
In 1970 George E. Andrews defined the generating functions for P1r (n) and P2r (n). In this article ...
Abstract In this paper, some sufficient conditions for oscillation of the neutral delay partial equa...
In this paper, an exact solution has been obtained for the simultaneous triple series equations invo...
AbstractIn terms of the hypergeometric method, we establish ten general π-formulas with free paramet...
In this paper, an exact solution has been obtained for the simultaneous triple series equations invo...
In this paper,we study the existence and multiplicity of positive solutions ofnbsp second-order thre...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
There has been a great interest in studying difference equations and systems. One of the reasons for...
In this paper, we treat the equation (p^(x12)-1)/q^(y1)=(q^(y12)-1)/p^(x1)=k, where k is a fixed int...
We consider solutions, with infinity of zeros, of real second-order linear differential equations. T...
AbstractLetp∈Cαloc(RN) withp>0 and letf∈C1((0,∞),(0,∞)) be such that limu↘0f(u)/u=+∞,fis bounded at ...
The article proposes a numerical-analytical solution to the problem of axisymmetric loading of the c...
AbstractFor fixed n and a fixed partition α of k<n we give an explicit formula for the number N(n;α)...
In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the two identi...
The note generalizes a well-known formula for pi/2 named after the English mathematician John Wallis...
In 1970 George E. Andrews defined the generating functions for P1r (n) and P2r (n). In this article ...
Abstract In this paper, some sufficient conditions for oscillation of the neutral delay partial equa...
In this paper, an exact solution has been obtained for the simultaneous triple series equations invo...
AbstractIn terms of the hypergeometric method, we establish ten general π-formulas with free paramet...
In this paper, an exact solution has been obtained for the simultaneous triple series equations invo...
In this paper,we study the existence and multiplicity of positive solutions ofnbsp second-order thre...
AbstractA singular integral equation with a Holderian second member function on [a,b] is considered ...
There has been a great interest in studying difference equations and systems. One of the reasons for...
In this paper, we treat the equation (p^(x12)-1)/q^(y1)=(q^(y12)-1)/p^(x1)=k, where k is a fixed int...
We consider solutions, with infinity of zeros, of real second-order linear differential equations. T...
AbstractLetp∈Cαloc(RN) withp>0 and letf∈C1((0,∞),(0,∞)) be such that limu↘0f(u)/u=+∞,fis bounded at ...
The article proposes a numerical-analytical solution to the problem of axisymmetric loading of the c...
AbstractFor fixed n and a fixed partition α of k<n we give an explicit formula for the number N(n;α)...
In 1894, Rogers found the two identities for the first time. In 1913, Ramanujan found the two identi...
The note generalizes a well-known formula for pi/2 named after the English mathematician John Wallis...