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Bessel Functions

Arnold F. Nikiforov and Vasilii B. Uvarov
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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

Chapter Chapter III in Special Functions of Mathematical Physics, 1988, pp 201-251 from Springer

Abstract: 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.

Keywords: Bessel Function; Analytic Continuation; Asymptotic Formula; Helmholtz Equation; Jacobi Polynomial (search for similar items in EconPapers)
Date: 1988
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DOI: 10.1007/978-1-4757-1595-8_3

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