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 ...

N. E. Cho, O. S. Kwon, S. Owa, Certain subclasses of Sakaguchi functions, Southeast Asian Bull. Math. 17 (1993) 121–126. J. Dziok, R. K. Raina, J. Sokol, On alpha ...

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 ...

Certain elements of the boundary dependence of minimal harmonic functions in Euclidean domains are considered. For a given minimal harmonic function $h$ on a domain ...

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space. The points could be an infinite collection of electrons ...

The need for security in electronic communications is crucial in today's world. The foundation for providing this security rests on mathematics. In particular, a certain kind of mathematical function ...

PROOFS are the currency of mathematics, but Srinivasa Ramanujan, one of the all-time great mathematicians, often managed to skip them. Now a proof has been found for a connection that he seemed to ...

It has been thought of as many things: a pointlike object, an excitation of a field, a speck of pure math that has cut into reality. But never has physicists’ conception of a particle changed more ...

The need for security in electronic communications is crucial in today's world. The foundation for providing this security rests on mathematics. In particular, a certain kind of mathematical function ...