2000/10/17 by V. -B. K. Rogov, Rogov, V. -B. K.
Mathematics · #Advanced Mathematical Identities #Analytic and geometric function theory #FOS: Mathematics #Mathematical functions and polynomials #Quantum Algebra (math.QA) #math.QA
paper · pdf · doi:10.48550/arxiv.math/0010170
10 pages, Latex
arxiv created 2000/10/17 · openalex publication_date 2000/10/17 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The modified q-Bessel functions and the q-Bessel-Macdonald functions of the first and second kind are introduced. Their definition is based on representations as power series. Recurrence relations, the q-Wronskians, asymptotic decompositions and q-integral representations are received. In addition, the q-Bessel-Macdonald function of kind 3 is determined by its q-integral representation.