We investigate fixed points of meromorphic solutions <svg style="vertical-align:-3.56265pt;width:30.200001px;" id="M1" height="16.625" version="1.1" viewBox="0 0 30.200001 16.625" width="30.200001" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.138)"><path id="x1D466" d="M556 393q0 -39 -36 -106q-42 -78 -185 -279q-47 -66 -81 -108t-117 -135l-112 -26l-8 22q150 90 251 219q-6 136 -39 340q-8 53 -21 53q-6 0 -27 -19.5t-38 -42.5l-16 26q80 111 127 111q23 0 35 -28t20 -90q18 -137 27 -263h2q142 200 142 279q0 24 -14 48q-4 7 5 26
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t-47.5 -67l-25 13q15 39 38 78q40 66 83 66q57 0 120 -12q52 -10 80 -10q29 0 67 42z" /></g><g transform="matrix(.017,-0,0,-.017,24.252,12.138)"><path id="x29" d="M275 270q0 -296 -211 -440l-19 23q75 62 116.5 174t41.5 243t-42 243t-116 173l19 24q211 -144 211 -440z" /></g> </svg> for the Pielou logistic equation and obtain some estimates of exponents of convergence of fixed points of <svg style="vertical-align:-3.56265pt;width:30.200001px;" id="M2" height="16.625" version="1.1" viewBox="0 0 30.200001 16.625" width="30.200001" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,9.905,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,15.786,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,24.252,12.138)"><use xlink:href="#x29"/></g> </svg> and its shifts <svg style="vertical-align:-3.56265pt;width:56.262501px;" id="M3" height="16.625" version="1.1" viewBox="0 0 56.262501 16.625" width="56.262501" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,9.905,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,15.786,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,28.025,12.138)"><path id="x2B" d="M535 230h-212v-233h-58v233h-213v50h213v210h58v-210h212v-50z" /></g><g transform="matrix(.017,-0,0,-.017,41.777,12.138)"><path id="x1D45B" d="M495 86q-46 -47 -87 -72.5t-63 -25.5q-43 0 -16 107l49 210q7 34 8 50.5t-3 21t-13 4.5q-35 0 -109.5 -72.5t-115.5 -140.5q-21 -75 -38 -159q-50 -10 -76 -21l-6 8l84 340q8 35 -4 35q-17 0 -67 -46l-15 26q44 44 85.5 70.5t64.5 26.5q35 0 10 -103l-24 -98h2
q42 56 97 103.5t96 71.5q46 26 74 26q9 0 16 -2.5t14 -11.5t9.5 -24.5t-1 -44t-13.5 -68.5q-30 -117 -47 -200q-4 -19 -3.5 -25t6.5 -6q21 0 70 48z" /></g><g transform="matrix(.017,-0,0,-.017,50.311,12.138)"><use xlink:href="#x29"/></g> </svg>, differences <svg style="vertical-align:-3.56265pt;width:163.875px;" id="M4" height="16.625" version="1.1" viewBox="0 0 163.875 16.625" width="163.875" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.138)"><path id="x394" d="M600 0h-557v24l268 633l28 8l261 -641v-24zM497 50l-194 489l-196 -489h390z" /></g><g transform="matrix(.017,-0,0,-.017,10.959,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,20.801,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,26.683,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,35.148,12.138)"><use xlink:href="#x29"/></g><g transform="matrix(.017,-0,0,-.017,45.738,12.138)"><path id="x3D" d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" /></g><g transform="matrix(.017,-0,0,-.017,60.442,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,70.284,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,76.166,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,88.405,12.138)"><use xlink:href="#x2B"/></g><g transform="matrix(.017,-0,0,-.017,102.157,12.138)"><path id="x31" d="M384 0h-275v27q67 5 81.5 18.5t14.5 68.5v385q0 38 -7.5 47.5t-40.5 10.5l-48 2v24q85 15 178 52v-521q0 -55 14.5 -68.5t82.5 -18.5v-27z" /></g><g transform="matrix(.017,-0,0,-.017,110.316,12.138)"><use xlink:href="#x29"/></g><g transform="matrix(.017,-0,0,-.017,119.989,12.138)"><path id="x2212" d="M535 230h-483v50h483v-50z" /></g><g transform="matrix(.017,-0,0,-.017,133.741,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,143.583,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,149.465,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,157.93,12.138)"><use xlink:href="#x29"/></g> </svg>, and divided differences <svg style="vertical-align:-3.56265pt;width:78.162498px;" id="M5" height="16.625" version="1.1" viewBox="0 0 78.162498 16.625" width="78.162498" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(.017,-0,0,-.017,.062,12.138)"><use xlink:href="#x394"/></g><g transform="matrix(.017,-0,0,-.017,10.959,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,20.801,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,26.683,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,35.148,12.138)"><use xlink:href="#x29"/></g><g transform="matrix(.017,-0,0,-.017,41.029,12.138)"><path id="x2F" d="M368 703l-264 -866h-60l265 866h59z" /></g><g transform="matrix(.017,-0,0,-.017,48.033,12.138)"><use xlink:href="#x1D466"/></g><g transform="matrix(.017,-0,0,-.017,57.875,12.138)"><use xlink:href="#x28"/></g><g transform="matrix(.017,-0,0,-.017,63.757,12.138)"><use xlink:href="#x1D467"/></g><g transform="matrix(.017,-0,0,-.017,72.222,12.138)"><use xlink:href="#x29"/></g> </svg>.