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 ...

Let ϱ(n) denote the number of positive regular integers (mod n) less than or equal to n and let ϱr(n) (r ≥ 1) be the multidimensional generalization of the arithmetic function ϱ(n). We study the ...

Scientific American presents Math Dude by Quick & Dirty Tips. Scientific American and Quick & Dirty Tips are both Macmillan companies. After our 3 frequently asked questions about math puzzles episode ...

Scientific American presents Math Dude by Quick & Dirty Tips. Scientific American and Quick & Dirty Tips are both Macmillan companies. Pick a number, any number. Then multiply it by 9. Next, add its ...