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New mathematical identities with applications to flexure and torsion

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Abstract

We obtain some new trigonometric identities and find the corresponding Chebyshev polynomials identities. We also indicate their applications to certain boundary value problems which arise in Mechanics.

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References

  1. S. A. Obaid, J. Appl. Math. Phys.34, 439 (1983).

    Google Scholar 

  2. D. C. Rung and S. A. Obaid, J. Appl. Math. Phys.36, 443 (1985).

    Google Scholar 

  3. A. C. Stevenson, Philos. Trans. R. Soc. London237, 161 (1938).

    Google Scholar 

  4. W. A. Bassali and S. A. Obaid, J. Appl. Math. Mech.61, 639 (1981).

    Google Scholar 

  5. J. Riordan,Combinatorial identities (Wiley, New York 1968).

    Google Scholar 

  6. D. E. Knuth,Fundamental algorithms I (Addison Wesley, New York 1968).

    Google Scholar 

  7. W. Magnus, F. Oberhettinger and R. P. Soni,Formulas and theorems for the special functions of mathematical physics (Springer Verlag, New York 1966).

    Google Scholar 

  8. I. S. Sokolnikoff,Mathematical theory of elasticity (McGraw-Hill, New York 1956).

    Google Scholar 

  9. L. M. Milne-Thomson,Theoretical hydrodynamics (Macmillan, New York 1956).

    Google Scholar 

  10. M. M. Abbassi, Q. J. Appl. math.1, 75 (1956).

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Mathematics and Computer Science, San Jose State University, 95192, California

    S. A. Obaid

  2. Dept. of Mathematics, Pennsylvania State University, 16802, University Park, Pennsylvania, USA

    D. C. Rung

Authors
  1. S. A. Obaid
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  2. D. C. Rung
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Obaid, S.A., Rung, D.C. New mathematical identities with applications to flexure and torsion. Z. angew. Math. Phys. 40, 93–110 (1989). https://doi.org/10.1007/BF00945312

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  • DOI: https://doi.org/10.1007/BF00945312

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