On automorphic and modular forms in the space of the homogeneous polynomials with degree 2l and applications to the special matrix

Ozdemir M. E., Kirmaci U., Ocak R., Donmez A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.152, sa.3, ss.897-904, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 152 Sayı: 3
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1016/s0096-3003(03)00618-0
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.897-904
  • Anahtar Kelimeler: homogeneous polynomials, automorphic form, modular form, modular group, Poincare series
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

An interesting connection exists between the space of homogeneous polynomials and the representations of the homogeneous modular group F(l). This linkage leads to become automorphic and modular forms for the representations of the modular group. In this paper we also obtain new special functions, a study of which leads to new relations for usual functions. (C) 2003 Elsevier Inc. All rights reserved.