An Elementary Treatise on Spherical Harmonics and Subjects Connected with Them |
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Page vii
... ZONAL HARMONICS . ART . 1. Differential Equation of Zonal Harmonics 2. General solution of this equation 3. Proof that P , is the coefficient of h in a certain series PAGE 6 5. Other expressions for P1 11 · • 6. Investigation of ...
... ZONAL HARMONICS . ART . 1. Differential Equation of Zonal Harmonics 2. General solution of this equation 3. Proof that P , is the coefficient of h in a certain series PAGE 6 5. Other expressions for P1 11 · • 6. Investigation of ...
Page viii
... zonal harmonics PAGE 29 ib . 33 21. Development of sin 0 in an infinite series of zonal harmonics 35 dPi 22. Value of in a series of zonal harmonics 37 αμ 24. Value of ΡΡμαμ of P 25 , 26. Expression of Zonal Harmonics by Definite ...
... zonal harmonics PAGE 29 ib . 33 21. Development of sin 0 in an infinite series of zonal harmonics 35 dPi 22. Value of in a series of zonal harmonics 37 αμ 24. Value of ΡΡμαμ of P 25 , 26. Expression of Zonal Harmonics by Definite ...
Page ix
... harmonic of the degree i will involve 2i + 1 arbi- trary constants 72 122 5. Derivation of successive harmonics from the zonal harmonic by differentiation 6. Tesseral and sectorial harmonics 22 ib . 74 7. Expression of tesseral and ...
... harmonic of the degree i will involve 2i + 1 arbi- trary constants 72 122 5. Derivation of successive harmonics from the zonal harmonic by differentiation 6. Tesseral and sectorial harmonics 22 ib . 74 7. Expression of tesseral and ...
Page 1
Norman Macleod Ferrers. CHAPTER I. INTRODUCTORY . DEFINITION OF SPHERICAL HARMONICS . 1. IF V be the potential of an attracting ... HARMONICS CHAPTER ZONAL HARMONICS Differential Equation of Zonal Harmonics General solution of this equation.
Norman Macleod Ferrers. CHAPTER I. INTRODUCTORY . DEFINITION OF SPHERICAL HARMONICS . 1. IF V be the potential of an attracting ... HARMONICS CHAPTER ZONAL HARMONICS Differential Equation of Zonal Harmonics General solution of this equation.
Page 4
Norman Macleod Ferrers. CHAPTER II . ZONAL HARMONICS . 1. WE shall in this chapter regard a Zonal Solid Har- monic ... zonal surface harmonic of the degree . When it is necessary to particularise the variable.
Norman Macleod Ferrers. CHAPTER II . ZONAL HARMONICS . 1. WE shall in this chapter regard a Zonal Solid Har- monic ... zonal surface harmonic of the degree . When it is necessary to particularise the variable.
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A. S. WALPOLE A. W. VERRALL ALGEBRA ARITHMETIC Assistant Master Assistant-Master axis BEGINNERS BOOK Cambridge centre CHEMISTRY Christ's College Clifton College coefficients cos² Crown 8vo degree denoted density Edited by E. S. Edited by Rev ellipsoid English Exercises expression external point Extra fcap Fcap Fellow of St Fellow of Trinity Globe 8vo GRAMMAR Hence HISTORY internal Introduction and Notes J. P. MAHAFFY John's College late Fellow LATIN Lecturer Litt LL.D Macmillan's Mathematics numerous Illustrations obtain Owens College Oxford P₁ P₂ plane potential preparation PRIMER radius rational integral function revised and enlarged School Second Edition solid solid harmonic sphere spherical harmonic surface harmonic Tesseral Translated Trinity College University V₁ Vocabulary y+b² y+c² zonal harmonic αμ αμσ μ² µ³
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