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Bessel Functions

In: Special Functions of Mathematical Physics

Author

Listed:
  • Arnold F. Nikiforov

    (M.V. Keldish Institute of Applied Mathematics of the Academy of Sciences of the USSR)

  • Vasilii B. Uvarov

    (M.V. Keldish Institute of Applied Mathematics of the Academy of Sciences of the USSR)

Abstract

Bessel functions are perhaps the most frequently used special functions. Typical problems that lead to Bessel functions arise in solving the Helmholtz equation % MathType!MTEF!2!1!+- % feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn % hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr % 4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq-Jc9 % vqaqpepm0xbba9pwe9Q8fs0-yqaqpepae9pg0FirpepeKkFr0xfr-x % fr-xb9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaGaeyiLdqKaeq % yXduNaey4kaSIaeq4UdWMaeqyXduNaeyypa0JaaGimaaaa!3F3F! $$\Delta \upsilon + \lambda \upsilon = 0$$ in cylindrical coordinates.

Suggested Citation

  • Arnold F. Nikiforov & Vasilii B. Uvarov, 1988. "Bessel Functions," Springer Books, in: Special Functions of Mathematical Physics, chapter 0, pages 201-251, Springer.
  • Handle: RePEc:spr:sprchp:978-1-4757-1595-8_3
    DOI: 10.1007/978-1-4757-1595-8_3
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