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 ...

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 ...

Proceedings of the American Mathematical Society, Vol. 135, No. 11 (Nov., 2007), pp. 3641-3648 (8 pages) Let α > 0 and 0 < c ≠ 1 be real numbers. The inequality ...

The National Institute of Standards and Technology (NIST) has released a five-chapter preview of the much-anticipated online Digital Library of Mathematical Functions (DLMF). In development for over a ...

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 ...

Some fundamental properties of the empirical distribution function are derived in the case of independent but not necessarily identically distributed random variables. The distribution functions of ...

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 ...