Abdulkadir Hassen

  • 36 Citations
  • 3 h-Index
19992018
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Personal profile

Research interests

Research Expertise: 
Analytic and Elementary Number Theory | Generalized Bernoulli and Euler Numbers and Polynomials

My research interests are in the area of Analytic and Analytic Number Theory.  I am interested in characterization of Automorphic integral associated with Hekce groups.

Currently, I am working on the determination of those automorphic integrals with prescribed poles of any order and any number of poles. I also am working on problems related to generalized Euler numbers and polynomials. Related to these polynomials are the Hypergeometric Bernoulli polynomials, which generalize the classical Bernoulli numbers via their generating function. These new polynomials have many similar properties as the classical ones as well as some properties unique to them.  For example, their complex zeros seem to converge to a curve in the complex plane but the exact curves are not known.

I also work with graduate and undergraduate students on research projects from Euler’s papers as well as partition functions.

Education/Academic qualification

Doctor of Philosophy, doctorate, Temple University

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Hypergeometric Functions Mathematics
Hecke Groups Mathematics
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Period Function Mathematics
Polynomial function Mathematics
Euler Polynomials Mathematics
Hypergeometric Polynomials Mathematics
Euler numbers Mathematics

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Research Output 1999 2018

  • 36 Citations
  • 3 h-Index
  • 7 Article

A simple generalization of euler numbers and polynomials

Hassen, A. & Ernst, C. R., Jan 1 2018, In : Journal of the Indian Mathematical Society. 85, 3-4, p. 328-341 14 p.

Research output: Contribution to journalArticle

Euler Polynomials
Euler numbers
Recurrence relation
Explicit Formula
Multiplicative

Fractional hypergeometric zeta functions

Geleta, H. L. & Hassen, A., Nov 1 2016, In : Ramanujan Journal. 41, 1-3, p. 421-436 16 p.

Research output: Contribution to journalArticle

Hypergeometric Functions
Riemann zeta function
Fractional
Bernoulli numbers
Analytic Continuation
1 Citation (Scopus)

A zero-free region for hypergeometric zeta functions

Hassen, A. & Nguyen, H., Jun 1 2011, In : International Journal of Number Theory. 7, 4, p. 1033-1043 11 p.

Research output: Contribution to journalArticle

Hypergeometric Functions
Riemann zeta function
Zero
Argand diagram
Trivial
13 Citations (Scopus)

Hypergeometric zeta functions

Hassen, A. & Nguyen, H., Feb 1 2010, In : International Journal of Number Theory. 6, 1, p. 99-126 28 p.

Research output: Contribution to journalArticle

Hypergeometric Functions
Riemann zeta function
Functional Inequalities
Bernoulli numbers
Special Functions
15 Citations (Scopus)

Hypergeometric Bernoulli polynomials and appell sequences

Hassen, A. & Nguyen, H., Nov 3 2008, In : International Journal of Number Theory. 4, 5, p. 767-774 8 p.

Research output: Contribution to journalArticle

Hypergeometric Polynomials
Bernoulli Polynomials
Generating Function
Zero
Hypergeometric Series