Multiplication theorems for multi-variable and multi-index Bessel functions

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  • Abstract

    In this article, we derive multiplication theorems for the 3-variable 2-parameter Bessel functions $J_n(\lambda x,\mu y,\nu z;\tau_1,\tau_2)$ and 2-index 5-variable 3-parameter Bessel functions$J_{m,n}(\lambda x,\mu y,\nu z,\eta w,\beta h;\tau_1,\tau_2,\tau_3)$ using the generating function method. Further, we derive multiplication theorems for functions related to $J_n(\lambda x,\mu y,\nu z;\tau_1,\tau_2)$ and$J_{m,n}(\lambda x,\mu y,\nu z,\eta w,\beta h;\tau_1,\tau_2,\tau_3)$. Furthermore, we establish a multiplication theorem for N-index Bessel functions $J_{m_1,m_2.....m_N}(\lambda x)$.




Article ID: 934
DOI: 10.14419/ijamr.v2i3.934

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