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A note on the real zeros of the basic confluent hypergeometric function

Published online by Cambridge University Press:  24 October 2008

Ramadhar Mishra
Ramadhar Mishra
Affiliation:
The University, Gorakhpur, India
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Extract

Some years back, Slater (4) discussed the approximations, based on the expansion in series, for the cases 1F1(a; b; x) = 0, when either of b and x or a and x are fixed. These approximations were based essentially on the well-known Newton's method of approximation and were helpful in the numerical evaluation of the small real zeros of the confluent hypergeometric function 1F1(a; b; x;). In this note, we deal with the corresponding problem for the basic confluent hypergeometric function 1Φ1(a; b; x;).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 64 , Issue 3 , July 1968 , pp. 683 - 686
Copyright
Copyright © Cambridge Philosophical Society 1968

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References

REFERENCES

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(4)Slater, L. J.The real zeros of the confluent hypergeometric function, Proc. Cambridge Philos. Soc. 52 (1956), 626–635.CrossRefGoogle Scholar