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

  • Authors

    • Ghazala Yasmin Aligarh Muslim University, Aligarh
    2013-08-27
    https://doi.org/10.14419/ijamr.v2i3.934
  • 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 $J_{m_1,m_2.....m_N}(\lambda x)$.
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  • How to Cite

    Yasmin, G. (2013). Multiplication theorems for multi-variable and multi-index Bessel functions. International Journal of Applied Mathematical Research, 2(3), 408-417. https://doi.org/10.14419/ijamr.v2i3.934