Browsing by Author "Jimoh, F. M."

Now showing 1 - 5 of 5
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    Analytic functions defined by expressions having geometric meaning
    (Element d.o.o., Zagreb, Croatia, 2017) Jimoh, F. M.; Babalola, Kunle Oladeji
    We define a new class J_n^α (β) of analytic functions by a product of certain expressions having geometric meaning. We establish univalence of the new class, obtain its integral representations, sufficient inclusions conditions and coefficient inequalities. Examples are given
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    Bounds on coefficients of certain analytic functions
    (Faculty of Science, University of Ilorin, Ilorin, Nigeria, 2013) Jimoh, F. M.; Ganiyu, M. A.; Ejieji, C. N.; Babalola, Kunle Oladeji
    In this paper, we obtain bounds on some early coefficients of analytic functions which have the form f(z)=z+a_2 z^2+⋯ and which satisfy certain geometric conditionsin the open unit disk E={z∈ C:|z|<1}
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    Bounds on coefficients of certain analytic functions
    (Faculty of Science, University of Ilorin, Ilorin, Nigeria, 2013) Jimoh, F. M.; Ganiyu, M. A.; Ejieji, C. N.; Babalola, Kunle Oladeji
    In this paper we obtain bounds on some early coefficients of analytic functions which have the form f(z)=z+a_2z^2+...and satisfy certain geometric conditions in the unit disk E = {z: |z|<1}.
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    Coefficient estimates for certain classes of analytic functions
    (Nigerian Mathematical Society, 2014) Ganiyu, M. A.; Jimoh, F. M.; Ejieji, C. N.; Babalola, Kunle Oladeji
    Bounds on early coefficients of analytic functions normalized by f(0)=f^'(0)-1=0 which satisfy Re (〖f(z)〗^(α-1) f^' (z))/z^(α-1) (1+(zf^'' (z))/(f^' (z) ))>0 in the unit disk U ={z∈ C:|z|<1} are obtained using known properties of functions with positive real part
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    Functions defined by products of geometric expressions
    (Mathematical Association of Nigeria, 2015) Jimoh, F. M.; Babalola, Kunle Oladeji
    We introduce a new class of analytic and univalent functions defi ned by product of geometric expressions. The univalence of functions in the new class as well as sufficient inclusion condition is established. The radius of convexity for the class is also obtained.