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- W1640100209 abstract "The distribution density of zeros (i.e. the number of zeros per unit interval) of spherical Bessel functionsj L (x) of large orderL is shown to be % MathType!MTEF!2!1!+-% feaafiart1ev1aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXgatC% vAUfeBSjuyZL2yd9gzLbvyNv2CaeHbd9wDYLwzYbItLDharyavP1wz% ZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbb% L8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yqaqpe% pae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabeqaam% aaeaqbaaGcbaWaaSraaSqaaGGaciab-f8aYjadaY7GmbataeqaaOGa% eiikaGIaemiEaGNaeiykaKIaeyypa0dccaGae4hWda3aaWbaaSqabe% aaieaacqqFTaqlcqqFXaqmaaGccqGGOaakcqaIXaqmcqGHsislcqGG% OaakcqWGmbatcqGHRaWkcqaIXaqmcWaoak4la8IamGaGikdaYiadia% OGPaqkdGacaYbaaSqajGaGbGacakadiaiIYaGmaaGccWaGaIV-aaGG% VaWlcWaGaYR-aaWG4baEdGaGaYR-aaahaaWcbKaGaYR-aaqaiaiG86% paaiadaciV+daaikdaYaaakiadaciV+daacMcaPmacaciV+daaCaaa% leqcaciV+daabGaGaYR-aaGamaiG86paaGymaeJamaiGm6paai4la8% IamaiGC5paaGOmaidaaaaa!807A! $${}_{rho L}(x) = pi ^{ - 1} (1 - (L + 1/2)^2 /x^2 )^{1/2} $$ for |x|>L+1/2. A similar analytical expression for the squares of the zeros is also found. As a byproduct, closed expressions of Rayleigh’s famous spectral sum rules are found." @default.
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- W1640100209 title "The distribution of zeros of spherical bessel functions" @default.
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- W1640100209 doi "https://doi.org/10.1007/bf02753824" @default.
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