A family of Apostol–Euler polynomials associated with Bell polynomials

• Published in: Analysis (Wiesbaden) Vol. 44; no. 1; pp. 1 - 16
• Main Authors: Khan, Nabiullah, Husain, Saddam
• Format: Journal Article
• Language: English
• Published: De Gruyter Oldenbourg 01.02.2024
• Subjects: 11B68; 33B15; 33C05; 33C10; 33C15; 33C45; 33E20; Bell polynomial; Euler polynomials; Stirling number of second kind; Stirling polynomial

Many authors investigated the characteristics of the Bell, Euler, Bernoulli, and Genocchi polynomials because of their numerous uses in statistics, number theory, and other branches of science. A generating function for mixed-type Apostol–Euler polynomials of order η related with Bell polynomials is...