Spherical harmonics in a non-polar co-ordinate system and application to Fourier series in 2-sphere

H. M. Nasir*

*المؤلف المقابل لهذا العمل

نتاج البحث: المساهمة في مجلةمقالمراجعة النظراء

1 اقتباس (Scopus)

ملخص

A new non-polar spherical co-ordinate system for the three-dimensional space is introduced. The co-ordinate system is composed of six local co-ordinate systems mapped from six faces of a cube on to the 2-sphere. Weakly orthogonal and orthogonal spherical harmonics are constructed in this coordinate system. The spherical harmonics are easily computable functions consisting of polynomials and square root of polynomials. Examples of finite Fourier series computations are given in terms of the new spherical harmonics to demonstrate their immediate applicability.

اللغة الأصليةEnglish
الصفحات (من إلى)1843-1854
عدد الصفحات12
دوريةMathematical Methods in the Applied Sciences
مستوى الصوت30
رقم الإصدار14
المعرِّفات الرقمية للأشياء
حالة النشرPublished - سبتمبر 25 2007
منشور خارجيًانعم

ASJC Scopus subject areas

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