Special functions occupy a central role in mathematical analysis, bridging pure theory and practical application across diverse scientific fields. Their intrinsic properties—such as recurrence ...

The present paper deals with the approximation properties for exponential functions of general Durrmeyer type operators having the weights of Szász basis functions. Here we give explicit expressions ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Various properties of the mixed exponential hazard rate and reliability are discussed. Particular attention is given to the relationship between the mixed hazard rate h(t) and the mixing density g(λ).